101314898208 has 72 divisors (see below), whose sum is σ = 290382962688. Its totient is φ = 33505702272.

The previous prime is 101314898183. The next prime is 101314898219. The reversal of 101314898208 is 802898413101.

101314898208 is a `hidden beast` number, since 10 + 131 + 489 + 8 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×101314898208² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1348416 + ... + 1421567.

It is an arithmetic number, because the mean of its divisors is an integer number (4033096704).

Almost surely, 2^101314898208 is an apocalyptic number.

101314898208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101314898208 is an abundant number, since it is smaller than the sum of its proper divisors (189068064480).

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

101314898208 is a wasteful number, since it uses less digits than its factorization.

101314898208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770126 (or 2770115 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 101314898208 in words is "one hundred one billion, three hundred fourteen million, eight hundred ninety-eight thousand, two hundred eight".