211122120110100 has 72 divisors (see below), whose sum is σ = 611056079262048. Its totient is φ = 56279931408000.

The previous prime is 211122120110053. The next prime is 211122120110117. The reversal of 211122120110100 is 1011021221112.

It is a happy number.

It is a super-2 number, since 2×211122120110100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211122120110100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119752326 + ... + 121502525.

Almost surely, 2^{211122120110100} is an apocalyptic number.

211122120110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122120110100 is an abundant number, since it is smaller than the sum of its proper divisors (399933959151948).

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

211122120110100 is a wasteful number, since it uses less digits than its factorization.

211122120110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241257785 (or 241257778 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211122120110100 its reverse (1011021221112), we get a palindrome (212133141331212).

The spelling of 211122120110100 in words is "two hundred eleven trillion, one hundred twenty-two billion, one hundred twenty million, one hundred ten thousand, one hundred".