100100122102211 has 64 divisors (see below), whose sum is σ = 128075225241600. Its totient is φ = 77554281168000.

The previous prime is 100100122102177. The next prime is 100100122102219. The reversal of 100100122102211 is 112201221001001.

It is not a de Polignac number, because 100100122102211 - 2²⁶ = 100100054993347 is a prime.

It is a super-2 number, since 2×100100122102211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100100122102219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4723698626 + ... + 4723719816.

It is an arithmetic number, because the mean of its divisors is an integer number (2001175394400).

Almost surely, 2^{100100122102211} is an apocalyptic number.

100100122102211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100100122102211 is a deficient number, since it is larger than the sum of its proper divisors (27975103139389).

100100122102211 is a wasteful number, since it uses less digits than its factorization.

100100122102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28321 (or 28307 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100100122102211 its reverse (112201221001001), we get a palindrome (212301343103212).

The spelling of 100100122102211 in words is "one hundred trillion, one hundred billion, one hundred twenty-two million, one hundred two thousand, two hundred eleven".