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101000212210212 = 22375417803927611
BaseRepresentation
bin10110111101101111110001…
…110001010110001000100100
3111020121112012110001100110020
4112331233301301112020210
5101214241413311211322
6554450505033355140
730163011261512040
oct2675576161261044
9436545173040406
10101000212210212
112a1aaa497a4807
12b3b2626868ab0
134448382382653
141ad26174d9020
15ba23a99a305c
hex5bdbf1c56224

101000212210212 has 96 divisors (see below), whose sum is σ = 269426886543360. Its totient is φ = 28847242533120.

The previous prime is 101000212210199. The next prime is 101000212210229. The reversal of 101000212210212 is 212012212000101.

It is a junction number, because it is equal to n+sod(n) for n = 101000212210191 and 101000212210200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3657956287 + ... + 3657983897.

It is an arithmetic number, because the mean of its divisors is an integer number (2806530068160).

Almost surely, 2101000212210212 is an apocalyptic number.

101000212210212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101000212210212 is an abundant number, since it is smaller than the sum of its proper divisors (168426674333148).

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

101000212210212 is a wasteful number, since it uses less digits than its factorization.

101000212210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41081 (or 41079 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101000212210212 its reverse (212012212000101), we get a palindrome (313012424210313).

The spelling of 101000212210212 in words is "one hundred one trillion, two hundred twelve million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 5417 8039 10834 16078 16251 21668 24117 27611 32156 32502 37919 48234 55222 56273 65004 75838 82833 96468 110444 112546 113757 151676 165666 168819 193277 225092 227514 331332 337638 386554 455028 579831 675276 773108 1159662 2319324 43547263 87094526 130641789 149568787 174189052 221964829 261283578 299137574 304830841 443929658 448706361 522567156 598275148 609661682 665894487 887859316 897412722 914492523 1046981509 1219323364 1331788974 1553753803 1794825444 1828985046 2093963018 2663577948 3107507606 3140944527 3657970092 4187926036 4661261409 6215015212 6281889054 9322522818 12563778108 18645045636 1202383478693 2404766957386 3607150436079 4809533914772 7214300872158 8416684350851 14428601744316 16833368701702 25250053052553 33666737403404 50500106105106 101000212210212