100215400311 has 64 divisors (see below), whose sum is σ = 165507148800. Its totient is φ = 59506296192.

The previous prime is 100215400297. The next prime is 100215400339. The reversal of 100215400311 is 113004512001.

100215400311 is a `hidden beast` number, since 100 + 21 + 540 + 0 + 3 + 1 + 1 = 666.

It is not a de Polignac number, because 100215400311 - 2⁷ = 100215400183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100215400211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28937166 + ... + 28940628.

It is an arithmetic number, because the mean of its divisors is an integer number (2586049200).

Almost surely, 2^100215400311 is an apocalyptic number.

100215400311 is a deficient number, since it is larger than the sum of its proper divisors (65291748489).

100215400311 is a wasteful number, since it uses less digits than its factorization.

100215400311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6357 (or 6351 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 100215400311 its reverse (113004512001), we get a palindrome (213219912312).

The spelling of 100215400311 in words is "one hundred billion, two hundred fifteen million, four hundred thousand, three hundred eleven".