101421232400 has 120 divisors (see below), whose sum is σ = 267641113920. Its totient is φ = 36762232320.

The previous prime is 101421232351. The next prime is 101421232403. The reversal of 101421232400 is 4232124101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (101421232403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115307 + ... + 464906.

It is an arithmetic number, because the mean of its divisors is an integer number (2230342616).

Almost surely, 2^101421232400 is an apocalyptic number.

101421232400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101421232400 is an abundant number, since it is smaller than the sum of its proper divisors (166219881520).

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

101421232400 is a wasteful number, since it uses less digits than its factorization.

101421232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580273 (or 580262 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 101421232400 its reverse (4232124101), we get a palindrome (105653356501).

The spelling of 101421232400 in words is "one hundred one billion, four hundred twenty-one million, two hundred thirty-two thousand, four hundred".