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101202001112212 = 2271113210119249981
BaseRepresentation
bin10111000000101011101101…
…010100111010110010010100
3111021022211001110110200011021
4113000223231110322302110
5101231043144241042322
6555123320230050524
730213413634051550
oct2700535524726224
9437284043420137
10101202001112212
112a27858932a510
12b4257614a9a44
1344614001a7300
141adc2bb004860
15ba7769edc4c7
hex5c0aed53ac94

101202001112212 has 144 divisors (see below), whose sum is σ = 241463150216064. Its totient is φ = 36035962560000.

The previous prime is 101202001112197. The next prime is 101202001112231. The reversal of 101202001112212 is 212211100202101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4367739 + ... + 14882242.

It is an arithmetic number, because the mean of its divisors is an integer number (1676827432056).

Almost surely, 2101202001112212 is an apocalyptic number.

It is an amenable number.

101202001112212 is an abundant number, since it is smaller than the sum of its proper divisors (140261149103852).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101202001112212 is a wasteful number, since it uses less digits than its factorization.

101202001112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19250130 (or 19250115 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101202001112212 its reverse (212211100202101), we get a palindrome (313413101314313).

The spelling of 101202001112212 in words is "one hundred one trillion, two hundred two billion, one million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 101 143 154 169 182 202 286 308 338 364 404 572 676 707 1001 1111 1183 1313 1414 1859 2002 2222 2366 2626 2828 3718 4004 4444 4732 5252 7436 7777 9191 13013 14443 15554 17069 18382 26026 28886 31108 34138 36764 52052 57772 68276 101101 119483 187759 202202 238966 375518 404404 477932 751036 1314313 2628626 5257252 19249981 38499962 76999924 134749867 211749791 250249753 269499734 423499582 500499506 538999468 846999164 1000999012 1482248537 1751748271 1944248081 2752747283 2964497074 3253246789 3503496542 3888496162 5505494566 5928994148 6506493578 7006993084 7776992324 11010989132 13012987156 13609736567 19269230981 21386728891 22772727523 25275225053 27219473134 35785714679 38538461962 42773457782 45545455046 50550450106 54438946268 71571429358 77076923924 85546915564 91090910092 101100900212 143142858716 149707102237 176926575371 250500002753 278027475583 299414204474 328577925689 353853150742 501000005506 556054951166 598828408948 657155851378 707706301484 1002000011012 1112109902332 1314311702756 1946192329081 2300045479823 3614357182579 3892384658162 4600090959646 7228714365158 7784769316324 9200181919292 14457428730316 25300500278053 50601000556106 101202001112212