100211122211211 has 96 divisors (see below), whose sum is σ = 161481839500800. Its totient is φ = 59372787801600.

The previous prime is 100211122211201. The next prime is 100211122211219. The reversal of 100211122211211 is 112112221112001.

It is a happy number.

100211122211211 is a `hidden beast` number, since 10 + 0 + 211 + 1 + 22 + 211 + 211 = 666.

It is not a de Polignac number, because 100211122211211 - 2¹⁵ = 100211122178443 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100211122211219) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 769611490 + ... + 769741688.

It is an arithmetic number, because the mean of its divisors is an integer number (1682102494800).

Almost surely, 2^{100211122211211} is an apocalyptic number.

100211122211211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100211122211211 is a deficient number, since it is larger than the sum of its proper divisors (61270717289589).

100211122211211 is a wasteful number, since it uses less digits than its factorization.

100211122211211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131057 (or 131054 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 100211122211211 its reverse (112112221112001), we get a palindrome (212323343323212).

The spelling of 100211122211211 in words is "one hundred trillion, two hundred eleven billion, one hundred twenty-two million, two hundred eleven thousand, two hundred eleven".