20102212122120 has 48 divisors (see below), whose sum is σ = 65332189398060. Its totient is φ = 5360589899136.

The previous prime is 20102212122053. The next prime is 20102212122133. The reversal of 20102212122120 is 2122121220102.

It is a happy number.

20102212122120 is a `hidden beast` number, since 20 + 1 + 0 + 221 + 212 + 212 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19247471193636 + 854740928484 = 4387194^2 + 924522^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 20102212122093 and 20102212122102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27919738699 + ... + 27919739418.

Almost surely, 2^{20102212122120} is an apocalyptic number.

20102212122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102212122120 is an abundant number, since it is smaller than the sum of its proper divisors (45229977275940).

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

20102212122120 is a wasteful number, since it uses less digits than its factorization.

20102212122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55839478134 (or 55839478127 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20102212122120 its reverse (2122121220102), we get a palindrome (22224333342222).

The spelling of 20102212122120 in words is "twenty trillion, one hundred two billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twenty".