102222356294272 has 256 divisors, whose sum is σ = 236891527430400. Its totient is φ = 43582350163968.

The previous prime is 102222356294183. The next prime is 102222356294347. The reversal of 102222356294272 is 272492653222201.

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, 6710578368 + ... + 6710593600.

It is an arithmetic number, because the mean of its divisors is an integer number (925357529025).

Almost surely, 2^{102222356294272} 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 102222356294272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118445763715200).

102222356294272 is an abundant number, since it is smaller than the sum of its proper divisors (134669171136128).

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

102222356294272 is a wasteful number, since it uses less digits than its factorization.

102222356294272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22363 (or 22351 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 49.

The spelling of 102222356294272 in words is "one hundred two trillion, two hundred twenty-two billion, three hundred fifty-six million, two hundred ninety-four thousand, two hundred seventy-two".