102212100000000 has 729 divisors, whose sum is σ = 369474518348481. Its totient is φ = 27175680000000.

The previous prime is 102212099999923. The next prime is 102212100000079. The reversal of 102212100000000 is 1212201.

The square root of 102212100000000 is 10110000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 47551908096 + 102164548091904 = 218064^2 + 10107648^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 303299999832 + ... + 303300000168.

Almost surely, 2^{102212100000000} is an apocalyptic number.

102212100000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102212100000000 is the 10110000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102212100000000

102212100000000 is an abundant number, since it is smaller than the sum of its proper divisors (267262418348481).

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

102212100000000 is an frugal number, since it uses more digits than its factorization.

102212100000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102212100000000 its reverse (1212201), we get a palindrome (102212101212201).

The spelling of 102212100000000 in words is "one hundred two trillion, two hundred twelve billion, one hundred million", and thus it is an aban number.