102022010202112 has 384 divisors, whose sum is σ = 274032960364800. Its totient is φ = 36672661094400.

The previous prime is 102022010202089. The next prime is 102022010202163. The reversal of 102022010202112 is 211202010220201.

It is a happy number.

It is a super-2 number, since 2×102022010202112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4430142214 + ... + 4430165242.

It is an arithmetic number, because the mean of its divisors is an integer number (713627500950).

Almost surely, 2^{102022010202112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102022010202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137016480182400).

102022010202112 is an abundant number, since it is smaller than the sum of its proper divisors (172010950162688).

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

102022010202112 is a wasteful number, since it uses less digits than its factorization.

102022010202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25243 (or 25223 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102022010202112 its reverse (211202010220201), we get a palindrome (313224020422313).

The spelling of 102022010202112 in words is "one hundred two trillion, twenty-two billion, ten million, two hundred two thousand, one hundred twelve".