101010085288992 has 1152 divisors, whose sum is σ = 345348309196800. Its totient is φ = 27664577740800.

The previous prime is 101010085288969. The next prime is 101010085288993. The reversal of 101010085288992 is 299882580010101.

101010085288992 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 100 + 8 + 528 + 8 + 9 + 9 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (101010085288993) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 73568888818 + ... + 73568890190.

It is an arithmetic number, because the mean of its divisors is an integer number (299781518400).

Almost surely, 2^{101010085288992} is an apocalyptic number.

101010085288992 is a gapful number since it is divisible by the number (12) 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 101010085288992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172674154598400).

101010085288992 is an abundant number, since it is smaller than the sum of its proper divisors (244338223907808).

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

101010085288992 is a wasteful number, since it uses less digits than its factorization.

101010085288992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 54.

The spelling of 101010085288992 in words is "one hundred one trillion, ten billion, eighty-five million, two hundred eighty-eight thousand, nine hundred ninety-two".