102222202202120 has 192 divisors, whose sum is σ = 314325613627200. Its totient is φ = 29410583569920.

The previous prime is 102222202202117. The next prime is 102222202202171. The reversal of 102222202202120 is 21202202222201.

It is a super-2 number, since 2×102222202202120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102222202202092 and 102222202202101.

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, 182077010 + ... + 182637569.

It is an arithmetic number, because the mean of its divisors is an integer number (1637112570975).

Almost surely, 2^{102222202202120} is an apocalyptic number.

102222202202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102222202202120 is an abundant number, since it is smaller than the sum of its proper divisors (212103411425080).

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

102222202202120 is a wasteful number, since it uses less digits than its factorization.

102222202202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364714628 (or 364714617 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 102222202202120 its reverse (21202202222201), we get a palindrome (123424404424321).

It can be divided in two parts, 102 and 222202202120, that added together give a palindrome (222202202222).

The spelling of 102222202202120 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred two million, two hundred two thousand, one hundred twenty".