100210311311 has 12 divisors (see below), whose sum is σ = 114937593456. Its totient is φ = 87139398720.

The previous prime is 100210311293. The next prime is 100210311317. The reversal of 100210311311 is 113113012001.

It is a happy number.

It is not a de Polignac number, because 100210311311 - 2¹⁰ = 100210310287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210311317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18001226 + ... + 18006791.

It is an arithmetic number, because the mean of its divisors is an integer number (9578132788).

Almost surely, 2^100210311311 is an apocalyptic number.

100210311311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100210311311 is a deficient number, since it is larger than the sum of its proper divisors (14727282145).

100210311311 is a wasteful number, since it uses less digits than its factorization.

100210311311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36008062 (or 36008051 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 100210311311 its reverse (113113012001), we get a palindrome (213323323312).

The spelling of 100210311311 in words is "one hundred billion, two hundred ten million, three hundred eleven thousand, three hundred eleven".