102212025490432 has 264 divisors, whose sum is σ = 241969331488976. Its totient is φ = 42867449856000.

The previous prime is 102212025490423. The next prime is 102212025490453. The reversal of 102212025490432 is 234094520212201.

It is a junction number, because it is equal to n+sod(n) for n = 102212025490391 and 102212025490400.

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, 4060693207 + ... + 4060718377.

Almost surely, 2^{102212025490432} 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 102212025490432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120984665744488).

102212025490432 is an abundant number, since it is smaller than the sum of its proper divisors (139757305998544).

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

102212025490432 is a wasteful number, since it uses less digits than its factorization.

102212025490432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27747 (or 27718 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 102212025490432 in words is "one hundred two trillion, two hundred twelve billion, twenty-five million, four hundred ninety thousand, four hundred thirty-two".