100311311001210 has 32 divisors (see below), whose sum is σ = 240748399825920. Its totient is φ = 26749543664448.

The previous prime is 100311311001151. The next prime is 100311311001211. The reversal of 100311311001210 is 12100113113001.

It is a super-2 number, since 2×100311311001210² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100311311001210.

It is not an unprimeable number, because it can be changed into a prime (100311311001211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2780037 + ... + 14434376.

It is an arithmetic number, because the mean of its divisors is an integer number (7523387494560).

Almost surely, 2^{100311311001210} is an apocalyptic number.

100311311001210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100311311001210 is an abundant number, since it is smaller than the sum of its proper divisors (140437088824710).

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

100311311001210 is a wasteful number, since it uses less digits than its factorization.

100311311001210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17408662.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 100311311001210 its reverse (12100113113001), we get a palindrome (112411424114211).

The spelling of 100311311001210 in words is "one hundred trillion, three hundred eleven billion, three hundred eleven million, one thousand, two hundred ten".