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201001102102212 = 223412712083723727
BaseRepresentation
bin101101101100111100110111…
…010010100100111011000100
3222100200111222101212002001220
4231230330313102210323010
5202321200224114232322
61551254344225520340
760223564454633526
oct5554746722447304
9870614871762056
10201001102102212
11590550a8059a15
121a66343a4a30b0
1388204269931b9
14378c710595a16
15183877745455c
hexb6cf374a4ec4

201001102102212 has 96 divisors (see below), whose sum is σ = 482446672748544. Its totient is φ = 65093653382400.

The previous prime is 201001102102211. The next prime is 201001102102249. The reversal of 201001102102212 is 212201201100102.

It is a junction number, because it is equal to n+sod(n) for n = 201001102102191 and 201001102102200.

It is not an unprimeable number, because it can be changed into a prime (201001102102211) 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, 277368693 + ... + 278092419.

It is an arithmetic number, because the mean of its divisors is an integer number (5025486174464).

Almost surely, 2201001102102212 is an apocalyptic number.

It is an amenable number.

201001102102212 is an abundant number, since it is smaller than the sum of its proper divisors (281445570646332).

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

201001102102212 is a wasteful number, since it uses less digits than its factorization.

201001102102212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726129 (or 726127 counting only the distinct ones).

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

Adding to 201001102102212 its reverse (212201201100102), we get a palindrome (413202303202314).

The spelling of 201001102102212 in words is "two hundred one trillion, one billion, one hundred two million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 271 492 542 813 1084 1626 2083 3252 4166 6249 8332 11111 12498 22222 24996 33333 44444 66666 85403 133332 170806 256209 341612 512418 564493 723727 1024836 1128986 1447454 1693479 2171181 2257972 2894908 3386958 4342362 6773916 8684724 23144213 29672807 46288426 59345614 69432639 89018421 92576852 118691228 138865278 178036842 196130017 277730556 356073684 392260034 588390051 784520068 1176780102 1507523341 2353560204 3015046682 4522570023 6030093364 8041330697 9045140046 16082661394 18090280092 24123992091 32165322788 48247984182 61808456981 96495968364 123616913962 185425370943 247233827924 370850741886 408538825411 741701483772 817077650822 1225616476233 1634155301644 2451232952466 4902465904932 16750091841851 33500183683702 50250275525553 67000367367404 100500551051106 201001102102212