102010220012100 has 288 divisors, whose sum is σ = 304505366409216. Its totient is φ = 26347362048000.

The previous prime is 102010220012047. The next prime is 102010220012189. The reversal of 102010220012100 is 1210022010201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2579187325 + ... + 2579226875.

It is an arithmetic number, because the mean of its divisors is an integer number (1057310300032).

Almost surely, 2^{102010220012100} is an apocalyptic number.

102010220012100 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 102010220012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152252683204608).

102010220012100 is an abundant number, since it is smaller than the sum of its proper divisors (202495146397116).

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

102010220012100 is a wasteful number, since it uses less digits than its factorization.

102010220012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40655 (or 40648 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102010220012100 its reverse (1210022010201), we get a palindrome (103220242022301).

The spelling of 102010220012100 in words is "one hundred two trillion, ten billion, two hundred twenty million, twelve thousand, one hundred".