10201365312400 has 120 divisors (see below), whose sum is σ = 25776734540544. Its totient is φ = 3874407513600.

The previous prime is 10201365312361. The next prime is 10201365312443. The reversal of 10201365312400 is 421356310201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7104034 + ... + 8418433.

Almost surely, 2^{10201365312400} is an apocalyptic number.

10201365312400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201365312400 is an abundant number, since it is smaller than the sum of its proper divisors (15575369228144).

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

10201365312400 is a wasteful number, since it uses less digits than its factorization.

10201365312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15522569 (or 15522558 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 10201365312400 in words is "ten trillion, two hundred one billion, three hundred sixty-five million, three hundred twelve thousand, four hundred".