100120220211 has 16 divisors (see below), whose sum is σ = 145712286720. Its totient is φ = 60644389920.

The previous prime is 100120220171. The next prime is 100120220309. The reversal of 100120220211 is 112022021001.

100120220211 = 67450² + 67451² + ... + 67471².

It is not a de Polignac number, because 100120220211 - 2¹⁸ = 100119958067 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100120222211) 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 15 ways as a sum of consecutive naturals, for example, 804360 + ... + 920453.

It is an arithmetic number, because the mean of its divisors is an integer number (9107017920).

Almost surely, 2^100120220211 is an apocalyptic number.

100120220211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100120220211 is a deficient number, since it is larger than the sum of its proper divisors (45592066509).

100120220211 is a wasteful number, since it uses less digits than its factorization.

100120220211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726586.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100120220211 its reverse (112022021001), we get a palindrome (212142241212).

The spelling of 100120220211 in words is "one hundred billion, one hundred twenty million, two hundred twenty thousand, two hundred eleven".