100414311210 has 48 divisors (see below), whose sum is σ = 261096859296. Its totient is φ = 26775134304.

The previous prime is 100414311209. The next prime is 100414311223. The reversal of 100414311210 is 12113414001.

100414311210 is a `hidden beast` number, since 10 + 0 + 414 + 31 + 1 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 1455517 + ... + 1522943.

It is an arithmetic number, because the mean of its divisors is an integer number (5439517902).

Almost surely, 2^100414311210 is an apocalyptic number.

100414311210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100414311210 is an abundant number, since it is smaller than the sum of its proper divisors (160682548086).

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

100414311210 is a wasteful number, since it uses less digits than its factorization.

100414311210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83987 (or 83984 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100414311210 its reverse (12113414001), we get a palindrome (112527725211).

The spelling of 100414311210 in words is "one hundred billion, four hundred fourteen million, three hundred eleven thousand, two hundred ten".