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100212101121210 = 23513496035180213
BaseRepresentation
bin10110110010010001110010…
…101100001000010010111010
3111010211011221121222212100120
4112302101302230020102322
5101113333340341334320
6553044445333514110
730052041200005101
oct2662216254102272
9433734847885316
10100212101121210
1129a267936168a1
12b2a5939aa2936
1343bbc64543870
141aa6412115038
15b8bb302db440
hex5b2472b084ba

100212101121210 has 64 divisors (see below), whose sum is σ = 259015009938048. Its totient is φ = 24667092059904.

The previous prime is 100212101121193. The next prime is 100212101121259. The reversal of 100212101121210 is 12121101212001.

It is a happy number.

It is a super-2 number, since 2×1002121011212102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100212101121210.

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, 16755064 + ... + 21935276.

It is an arithmetic number, because the mean of its divisors is an integer number (4047109530282).

Almost surely, 2100212101121210 is an apocalyptic number.

100212101121210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100212101121210 is an abundant number, since it is smaller than the sum of its proper divisors (158802908816838).

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

100212101121210 is a wasteful number, since it uses less digits than its factorization.

100212101121210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5229839.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100212101121210 its reverse (12121101212001), we get a palindrome (112333202333211).

The spelling of 100212101121210 in words is "one hundred trillion, two hundred twelve billion, one hundred one million, one hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 49603 99206 148809 248015 297618 496030 644839 744045 1289678 1488090 1934517 3224195 3869034 5180213 6448390 9672585 10360426 15540639 19345170 25901065 31081278 51802130 67342769 77703195 134685538 155406390 202028307 336713845 404056614 673427690 1010141535 2020283070 256954105439 513908210878 770862316317 1284770527195 1541724632634 2569541054390 3340403370707 3854311581585 6680806741414 7708623163170 10021210112121 16702016853535 20042420224242 33404033707070 50106050560605 100212101121210