100210132211211 has 128 divisors (see below), whose sum is σ = 173439630259200. Its totient is φ = 56508734177280.

The previous prime is 100210132211197. The next prime is 100210132211221. The reversal of 100210132211211 is 112112231012001.

It is a happy number.

100210132211211 is a `hidden beast` number, since 1 + 0 + 0 + 210 + 1 + 32 + 211 + 211 = 666.

It is not a de Polignac number, because 100210132211211 - 2¹⁰ = 100210132210187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100210132211221) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3135175716 + ... + 3135207678.

It is an arithmetic number, because the mean of its divisors is an integer number (1354997111400).

Almost surely, 2^{100210132211211} is an apocalyptic number.

100210132211211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100210132211211 is a deficient number, since it is larger than the sum of its proper divisors (73229498047989).

100210132211211 is a wasteful number, since it uses less digits than its factorization.

100210132211211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39066 (or 39060 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 100210132211211 its reverse (112112231012001), we get a palindrome (212322363223212).

The spelling of 100210132211211 in words is "one hundred trillion, two hundred ten billion, one hundred thirty-two million, two hundred eleven thousand, two hundred eleven".