101000011009992 has 32 divisors (see below), whose sum is σ = 252500486976000. Its totient is φ = 33666609076544.

The previous prime is 101000011009981. The next prime is 101000011009993. The reversal of 101000011009992 is 299900110000101.

It is not an unprimeable number, because it can be changed into a prime (101000011009993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10771993 + ... + 17833559.

It is an arithmetic number, because the mean of its divisors is an integer number (7890640218000).

Almost surely, 2^{101000011009992} is an apocalyptic number.

101000011009992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101000011009992 is an abundant number, since it is smaller than the sum of its proper divisors (151500475966008).

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

101000011009992 is a wasteful number, since it uses less digits than its factorization.

101000011009992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7657525 (or 7657521 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 33.

The spelling of 101000011009992 in words is "one hundred one trillion, eleven million, nine thousand, nine hundred ninety-two".