100401121200 has 60 divisors (see below), whose sum is σ = 321618262088. Its totient is φ = 26773632000.

The previous prime is 100401121141. The next prime is 100401121211. The reversal of 100401121200 is 2121104001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41832601 + ... + 41835000.

Almost surely, 2^100401121200 is an apocalyptic number.

100401121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100401121200 is an abundant number, since it is smaller than the sum of its proper divisors (221217140888).

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

100401121200 is a wasteful number, since it uses less digits than its factorization.

100401121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83667622 (or 83667611 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100401121200 its reverse (2121104001), we get a palindrome (102522225201).

The spelling of 100401121200 in words is "one hundred billion, four hundred one million, one hundred twenty-one thousand, two hundred".