101213555242400 has 72 divisors (see below), whose sum is σ = 248049022557420. Its totient is φ = 40327891189760.

The previous prime is 101213555242357. The next prime is 101213555242421. The reversal of 101213555242400 is 4242555312101.

It can be written as a sum of positive squares in 6 ways, for example, as 31171988243344 + 70041566999056 = 5583188^2 + 8369084^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245936315 + ... + 246347514.

Almost surely, 2^{101213555242400} is an apocalyptic number.

101213555242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101213555242400 is an abundant number, since it is smaller than the sum of its proper divisors (146835467315020).

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

101213555242400 is a wasteful number, since it uses less digits than its factorization.

101213555242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492284106 (or 492284093 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 101213555242400 in words is "one hundred one trillion, two hundred thirteen billion, five hundred fifty-five million, two hundred forty-two thousand, four hundred".