101535206400 has 528 divisors, whose sum is σ = 394844683680. Its totient is φ = 25480396800.

The previous prime is 101535206363. The next prime is 101535206401. The reversal of 101535206400 is 4602535101.

101535206400 is a `hidden beast` number, since 1 + 0 + 1 + 53 + 5 + 206 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101535206401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11746080 + ... + 11754720.

Almost surely, 2^101535206400 is an apocalyptic number.

101535206400 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 101535206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197422341840).

101535206400 is an abundant number, since it is smaller than the sum of its proper divisors (293309477280).

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

101535206400 is a wasteful number, since it uses less digits than its factorization.

101535206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8697 (or 8668 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 101535206400 in words is "one hundred one billion, five hundred thirty-five million, two hundred six thousand, four hundred".