101013442992 has 240 divisors, whose sum is σ = 361051891200. Its totient is φ = 25597209600.

The previous prime is 101013442949. The next prime is 101013443039. The reversal of 101013442992 is 299244310101.

101013442992 is a `hidden beast` number, since 1 + 0 + 10 + 134 + 429 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 343509 + ... + 565707.

It is an arithmetic number, because the mean of its divisors is an integer number (1504382880).

Almost surely, 2^101013442992 is an apocalyptic number.

101013442992 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 101013442992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180525945600).

101013442992 is an abundant number, since it is smaller than the sum of its proper divisors (260038448208).

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

101013442992 is a wasteful number, since it uses less digits than its factorization.

101013442992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222272 (or 222263 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 101013442992 in words is "one hundred one billion, thirteen million, four hundred forty-two thousand, nine hundred ninety-two".