101421432202400 has 72 divisors (see below), whose sum is σ = 256132832504220. Its totient is φ = 39169656565760.

The previous prime is 101421432202297. The next prime is 101421432202417. The reversal of 101421432202400 is 4202234124101.

It can be written as a sum of positive squares in 6 ways, for example, as 66496783557136 + 34924648645264 = 8154556^2 + 5909708^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101421432202400.

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, 2185783529 + ... + 2185829928.

Almost surely, 2^{101421432202400} is an apocalyptic number.

101421432202400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101421432202400 is an abundant number, since it is smaller than the sum of its proper divisors (154711400301820).

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

101421432202400 is a wasteful number, since it uses less digits than its factorization.

101421432202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4371613506 (or 4371613493 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 101421432202400 its reverse (4202234124101), we get a palindrome (105623666326501).

The spelling of 101421432202400 in words is "one hundred one trillion, four hundred twenty-one billion, four hundred thirty-two million, two hundred two thousand, four hundred".