20102211121122 has 96 divisors (see below), whose sum is σ = 50966557125120. Its totient is φ = 5670729492480.

The previous prime is 20102211121093. The next prime is 20102211121151. The reversal of 20102211121122 is 22112111220102.

20102211121122 is a `hidden beast` number, since 201 + 0 + 221 + 1 + 121 + 122 = 666.

It is an interprime number because it is at equal distance from previous prime (20102211121093) and next prime (20102211121151).

It is a super-2 number, since 2×20102211121122² (a number of 27 digits) contains 22 as substring.

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 = 20102211121095 and 20102211121104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72788223 + ... + 73063874.

It is an arithmetic number, because the mean of its divisors is an integer number (530901636720).

Almost surely, 2^{20102211121122} is an apocalyptic number.

20102211121122 is an abundant number, since it is smaller than the sum of its proper divisors (30864346003998).

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

20102211121122 is a wasteful number, since it uses less digits than its factorization.

20102211121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145852168 (or 145852165 counting only the distinct ones).

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

Adding to 20102211121122 its reverse (22112111220102), we get a palindrome (42214322341224).

The spelling of 20102211121122 in words is "twenty trillion, one hundred two billion, two hundred eleven million, one hundred twenty-one thousand, one hundred twenty-two".