101142564000 has 96 divisors (see below), whose sum is σ = 331343078976. Its totient is φ = 26971347200.

The previous prime is 101142563987. The next prime is 101142564031. The reversal of 101142564000 is 465241101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4202274 + ... + 4226273.

It is an arithmetic number, because the mean of its divisors is an integer number (3451490406).

Almost surely, 2^101142564000 is an apocalyptic number.

101142564000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101142564000 is an abundant number, since it is smaller than the sum of its proper divisors (230200514976).

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

101142564000 is an equidigital number, since it uses as much as digits as its factorization.

101142564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8428575 (or 8428557 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 101142564000 in words is "one hundred one billion, one hundred forty-two million, five hundred sixty-four thousand".