102202202012220 has 72 divisors (see below), whose sum is σ = 313082785229760. Its totient is φ = 26984079734400.

The previous prime is 102202202012191. The next prime is 102202202012233. The reversal of 102202202012220 is 22210202202201.

102202202012220 is a `hidden beast` number, since 1 + 0 + 2 + 20 + 220 + 201 + 2 + 220 = 666.

It is a super-2 number, since 2×102202202012220² (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 = 102202202012193 and 102202202012202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2810823460 + ... + 2810859819.

It is an arithmetic number, because the mean of its divisors is an integer number (4348372017080).

Almost surely, 2^{102202202012220} is an apocalyptic number.

102202202012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202202012220 is an abundant number, since it is smaller than the sum of its proper divisors (210880583217540).

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

102202202012220 is a wasteful number, since it uses less digits than its factorization.

102202202012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5621683395 (or 5621683390 counting only the distinct ones).

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

Adding to 102202202012220 its reverse (22210202202201), we get a palindrome (124412404214421).

The spelling of 102202202012220 in words is "one hundred two trillion, two hundred two billion, two hundred two million, twelve thousand, two hundred twenty".