101861632400 has 120 divisors (see below), whose sum is σ = 267089699808. Its totient is φ = 37024000000.

The previous prime is 101861632351. The next prime is 101861632417. The reversal of 101861632400 is 4236168101.

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, 14300840 + ... + 14307960.

Almost surely, 2^101861632400 is an apocalyptic number.

101861632400 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 101861632400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133544849904).

101861632400 is an abundant number, since it is smaller than the sum of its proper divisors (165228067408).

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

101861632400 is a wasteful number, since it uses less digits than its factorization.

101861632400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10401 (or 10390 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 101861632400 in words is "one hundred one billion, eight hundred sixty-one million, six hundred thirty-two thousand, four hundred".