211122100100120 has 64 divisors (see below), whose sum is σ = 520812855648000. Its totient is φ = 76385885431680.

The previous prime is 211122100100077. The next prime is 211122100100129. The reversal of 211122100100120 is 21001001221112.

It is a junction number, because it is equal to n+sod(n) for n = 211122100100095 and 211122100100104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211122100100129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1205497754 + ... + 1205672873.

It is an arithmetic number, because the mean of its divisors is an integer number (8137700869500).

Almost surely, 2^{211122100100120} is an apocalyptic number.

211122100100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122100100120 is an abundant number, since it is smaller than the sum of its proper divisors (309690755547880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211122100100120 is a wasteful number, since it uses less digits than its factorization.

211122100100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411170848 (or 2411170844 counting only the distinct ones).

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

Adding to 211122100100120 its reverse (21001001221112), we get a palindrome (232123101321232).

The spelling of 211122100100120 in words is "two hundred eleven trillion, one hundred twenty-two billion, one hundred million, one hundred thousand, one hundred twenty".