101261092896 has 192 divisors, whose sum is σ = 309837830400. Its totient is φ = 32130201600.

The previous prime is 101261092847. The next prime is 101261092901. The reversal of 101261092896 is 698290162101.

101261092896 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 610 + 9 + 28 + 9 + 6 = 666.

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, 1750516 + ... + 1807436.

It is an arithmetic number, because the mean of its divisors is an integer number (1613738700).

Almost surely, 2^101261092896 is an apocalyptic number.

101261092896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101261092896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154918915200).

101261092896 is an abundant number, since it is smaller than the sum of its proper divisors (208576737504).

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

101261092896 is a wasteful number, since it uses less digits than its factorization.

101261092896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57040 (or 57026 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 101261092896 in words is "one hundred one billion, two hundred sixty-one million, ninety-two thousand, eight hundred ninety-six".