220211102102112 has 72 divisors (see below), whose sum is σ = 683154896303880. Its totient is φ = 66730636999680.

The previous prime is 220211102102111. The next prime is 220211102102197. The reversal of 220211102102112 is 211201201112022.

220211102102112 is a `hidden beast` number, since 2 + 20 + 211 + 10 + 210 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×220211102102112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220211102102111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34755536937 + ... + 34755543272.

It is an arithmetic number, because the mean of its divisors is an integer number (9488262448665).

Almost surely, 2^{220211102102112} is an apocalyptic number.

220211102102112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

220211102102112 is an abundant number, since it is smaller than the sum of its proper divisors (462943794201768).

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

220211102102112 is a wasteful number, since it uses less digits than its factorization.

220211102102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69511080236 (or 69511080225 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 220211102102112 its reverse (211201201112022), we get a palindrome (431412303214134).

The spelling of 220211102102112 in words is "two hundred twenty trillion, two hundred eleven billion, one hundred two million, one hundred two thousand, one hundred twelve".