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101102200210002 = 234716131997111301
BaseRepresentation
bin10110111111001110110000…
…101110101100001001010010
3111020222021110011110112201210
4112333032300232230021102
5101222424301223210002
6555005413134240550
730203251525302225
oct2677166056541122
9436867404415653
10101102200210002
112a23a225320542
12b40a34a356156
134454b869c7314
141ad75305ad5bc
15ba4d784ce96c
hex5bf3b0bac252

101102200210002 has 64 divisors (see below), whose sum is σ = 206739978130944. Its totient is φ = 32946445459200.

The previous prime is 101102200209977. The next prime is 101102200210009. The reversal of 101102200210002 is 200012002201101.

It is a self number, because there is not a number n which added to its sum of digits gives 101102200210002.

It is not an unprimeable number, because it can be changed into a prime (101102200210009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 908311752 + ... + 908423052.

It is an arithmetic number, because the mean of its divisors is an integer number (3230312158296).

Almost surely, 2101102200210002 is an apocalyptic number.

101102200210002 is an abundant number, since it is smaller than the sum of its proper divisors (105637777920942).

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

101102200210002 is a wasteful number, since it uses less digits than its factorization.

101102200210002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114963.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101102200210002 its reverse (200012002201101), we get a palindrome (301114202411103).

The spelling of 101102200210002 in words is "one hundred one trillion, one hundred two billion, two hundred million, two hundred ten thousand, two".

Divisors: 1 2 3 6 47 94 141 282 1613 1997 3226 3994 4839 5991 9678 11982 75811 93859 111301 151622 187718 222602 227433 281577 333903 454866 563154 667806 3221161 5231147 6442322 9663483 10462294 15693441 19326966 31386882 151394567 179528513 222268097 302789134 359057026 444536194 454183701 538585539 666804291 908367402 1077171078 1333608582 8437840111 10446600559 16875680222 20893201118 25313520333 31339801677 50627040666 62679603354 358518440461 717036880922 1075555321383 2151110642766 16850366701667 33700733403334 50551100105001 101102200210002