100404120400 has 30 divisors (see below), whose sum is σ = 241220900222. Its totient is φ = 40161648000.

The previous prime is 100404120389. The next prime is 100404120409. The reversal of 100404120400 is 4021404001.

It can be written as a sum of positive squares in 3 ways, for example, as 5345364544 + 95058755856 = 73112^2 + 308316^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100404120409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 125504751 + ... + 125505550.

Almost surely, 2^100404120400 is an apocalyptic number.

100404120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100404120400 is an abundant number, since it is smaller than the sum of its proper divisors (140816779822).

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

100404120400 is a wasteful number, since it uses less digits than its factorization.

100404120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251010319 (or 251010308 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 100404120400 its reverse (4021404001), we get a palindrome (104425524401).

The spelling of 100404120400 in words is "one hundred billion, four hundred four million, one hundred twenty thousand, four hundred".