102022020222120 has 64 divisors (see below), whose sum is σ = 340073400744000. Its totient is φ = 27205872058944.

The previous prime is 102022020222119. The next prime is 102022020222191. The reversal of 102022020222120 is 21222020220201.

102022020222120 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 220 + 202 + 221 + 20 = 666.

It is a super-2 number, since 2×102022020222120² (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 junction number, because it is equal to n+sod(n) for n = 102022020222093 and 102022020222102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47232415690 + ... + 47232417849.

It is an arithmetic number, because the mean of its divisors is an integer number (5313646886625).

Almost surely, 2^{102022020222120} is an apocalyptic number.

102022020222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022020222120 is an abundant number, since it is smaller than the sum of its proper divisors (238051380521880).

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

102022020222120 is a wasteful number, since it uses less digits than its factorization.

102022020222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94464833559 (or 94464833549 counting only the distinct ones).

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

Adding to 102022020222120 its reverse (21222020220201), we get a palindrome (123244040442321).

The spelling of 102022020222120 in words is "one hundred two trillion, twenty-two billion, twenty million, two hundred twenty-two thousand, one hundred twenty".