102022000202112 has 256 divisors, whose sum is σ = 291683481062400. Its totient is φ = 31477587148800.

The previous prime is 102022000202071. The next prime is 102022000202137. The reversal of 102022000202112 is 211202000220201.

It is a junction number, because it is equal to n+sod(n) for n = 102022000202091 and 102022000202100.

It is a congruent number.

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, 3572309689 + ... + 3572338247.

It is an arithmetic number, because the mean of its divisors is an integer number (1139388597900).

Almost surely, 2^{102022000202112} is an apocalyptic number.

102022000202112 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 102022000202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145841740531200).

102022000202112 is an abundant number, since it is smaller than the sum of its proper divisors (189661480860288).

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

102022000202112 is a wasteful number, since it uses less digits than its factorization.

102022000202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37625 (or 37613 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102022000202112 its reverse (211202000220201), we get a palindrome (313224000422313).

The spelling of 102022000202112 in words is "one hundred two trillion, twenty-two billion, two hundred two thousand, one hundred twelve".