100412421140 has 48 divisors (see below), whose sum is σ = 216641237904. Its totient is φ = 39065702400.

The previous prime is 100412421133. The next prime is 100412421199. The reversal of 100412421140 is 41124214001.

It can be written as a sum of positive squares in 8 ways, for example, as 53882479876 + 46529941264 = 232126^2 + 215708^2 .

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2228030 + ... + 2272650.

It is an arithmetic number, because the mean of its divisors is an integer number (4513359123).

Almost surely, 2^100412421140 is an apocalyptic number.

100412421140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100412421140 is an abundant number, since it is smaller than the sum of its proper divisors (116228816764).

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

100412421140 is a wasteful number, since it uses less digits than its factorization.

100412421140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47708 (or 47706 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 100412421140 its reverse (41124214001), we get a palindrome (141536635141).

The spelling of 100412421140 in words is "one hundred billion, four hundred twelve million, four hundred twenty-one thousand, one hundred forty".