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102201010201212 = 223132099946732969
BaseRepresentation
bin10111001111001110000110…
…111010001010001001111100
3111101212022200010022121021220
4113033032012322022021330
5101343430132102414322
61001210255041553340
730345531210153336
oct2717160672121174
9441768603277256
10102201010201212
112a62322897a29a
12b5672a7645850
13450468b098980
141b347ab9c8456
15bc373976a55c
hex5cf386e8a27c

102201010201212 has 96 divisors (see below), whose sum is σ = 256970079072000. Its totient is φ = 31427209661952.

The previous prime is 102201010201183. The next prime is 102201010201223. The reversal of 102201010201212 is 212102010102201.

It is a super-2 number, since 2×1022010102012122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102201010201191 and 102201010201200.

It is a congruent number.

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, 3099895864 + ... + 3099928832.

It is an arithmetic number, because the mean of its divisors is an integer number (2676771657000).

Almost surely, 2102201010201212 is an apocalyptic number.

102201010201212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102201010201212 is an abundant number, since it is smaller than the sum of its proper divisors (154769068870788).

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

102201010201212 is a wasteful number, since it uses less digits than its factorization.

102201010201212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44555 (or 44553 counting only the distinct ones).

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

Adding to 102201010201212 its reverse (212102010102201), we get a palindrome (314303020303413).

The spelling of 102201010201212 in words is "one hundred two trillion, two hundred one billion, ten million, two hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 2099 4198 6297 8396 9467 12594 18934 25188 27287 28401 32969 37868 54574 56802 65938 81861 98907 109148 113604 123071 131876 163722 197814 246142 327444 369213 395628 428597 492284 738426 857194 1285791 1476852 1714388 2571582 5143164 19871233 39742466 59613699 69201931 79484932 119227398 138403862 207605793 238454796 258326029 276807724 312117523 415211586 516652058 624235046 774978087 830423172 899625103 936352569 1033304116 1248470092 1549956174 1799250206 1872705138 2698875309 3099912348 3598500412 3745410276 4057527799 5397750618 8115055598 10795501236 12172583397 16230111196 24345166794 48690333588 655134680777 1310269361554 1965404042331 2620538723108 3930808084662 7861616169324 8516750850101 17033501700202 25550252550303 34067003400404 51100505100606 102201010201212