102202122022020 has 36 divisors (see below), whose sum is σ = 310013103467340. Its totient is φ = 27253899205824.

The previous prime is 102202122022009. The next prime is 102202122022027. The reversal of 102202122022020 is 20220221202201.

102202122022020 is a `hidden beast` number, since 1 + 0 + 2 + 202 + 1 + 220 + 220 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10354854666816 + 91847267355204 = 3217896^2 + 9583698^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 102202122021984 and 102202122022002.

It is not an unprimeable number, because it can be changed into a prime (102202122022027) 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, 283894783215 + ... + 283894783574.

It is an arithmetic number, because the mean of its divisors is an integer number (8611475096315).

Almost surely, 2^{102202122022020} is an apocalyptic number.

102202122022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202122022020 is an abundant number, since it is smaller than the sum of its proper divisors (207810981445320).

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

102202122022020 is a wasteful number, since it uses less digits than its factorization.

102202122022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567789566804 (or 567789566799 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102202122022020 its reverse (20220221202201), we get a palindrome (122422343224221).

The spelling of 102202122022020 in words is "one hundred two trillion, two hundred two billion, one hundred twenty-two million, twenty-two thousand, twenty".