102212102120000 has 280 divisors, whose sum is σ = 265062577824000. Its totient is φ = 39019982848000.

The previous prime is 102212102119991. The next prime is 102212102120041. The reversal of 102212102120000 is 21201212201.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 412956281 + ... + 413203719.

Almost surely, 2^{102212102120000} is an apocalyptic number.

102212102120000 is a gapful number since it is divisible by the number (10) 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 102212102120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132531288912000).

102212102120000 is an abundant number, since it is smaller than the sum of its proper divisors (162850475704000).

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

102212102120000 is an equidigital number, since it uses as much as digits as its factorization.

102212102120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247943 (or 247918 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102212102120000 its reverse (21201212201), we get a palindrome (102233303332201).

The spelling of 102212102120000 in words is "one hundred two trillion, two hundred twelve billion, one hundred two million, one hundred twenty thousand".