101479392000 has 2160 divisors, whose sum is σ = 475028281728. Its totient is φ = 21366374400.

The previous prime is 101479391999. The next prime is 101479392011. The reversal of 101479392000 is 293974101.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2159135977 + ... + 2159136023.

Almost surely, 2^101479392000 is an apocalyptic number.

101479392000 is a gapful number since it is divisible by the number (10) 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 101479392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237514140864).

101479392000 is an abundant number, since it is smaller than the sum of its proper divisors (373548889728).

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

101479392000 is an equidigital number, since it uses as much as digits as its factorization.

101479392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 101479392000 in words is "one hundred one billion, four hundred seventy-nine million, three hundred ninety-two thousand".