102220210202112 has 240 divisors, whose sum is σ = 309076311278592. Its totient is φ = 32482105159680.

The previous prime is 102220210202087. The next prime is 102220210202119. The reversal of 102220210202112 is 211202012022201.

It is a happy number.

102220210202112 is a `hidden beast` number, since 1 + 0 + 2 + 220 + 210 + 20 + 211 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102220210202119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4230613 + ... + 14911019.

Almost surely, 2^{102220210202112} is an apocalyptic number.

102220210202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102220210202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154538155639296).

102220210202112 is an abundant number, since it is smaller than the sum of its proper divisors (206856101076480).

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

102220210202112 is a wasteful number, since it uses less digits than its factorization.

102220210202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10680529 (or 10680510 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102220210202112 its reverse (211202012022201), we get a palindrome (313422222224313).

The spelling of 102220210202112 in words is "one hundred two trillion, two hundred twenty billion, two hundred ten million, two hundred two thousand, one hundred twelve".