101400054224000 has 512 divisors, whose sum is σ = 305205531171840. Its totient is φ = 32706079948800.

The previous prime is 101400054223933. The next prime is 101400054224039. The reversal of 101400054224000 is 422450004101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4765701362 + ... + 4765722638.

It is an arithmetic number, because the mean of its divisors is an integer number (596104553070).

Almost surely, 2^{101400054224000} is an apocalyptic number.

101400054224000 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 101400054224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152602765585920).

101400054224000 is an abundant number, since it is smaller than the sum of its proper divisors (203805476947840).

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

101400054224000 is a wasteful number, since it uses less digits than its factorization.

101400054224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23833 (or 23811 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The spelling of 101400054224000 in words is "one hundred one trillion, four hundred billion, fifty-four million, two hundred twenty-four thousand".