102012202010000 has 100 divisors (see below), whose sum is σ = 247006587590400. Its totient is φ = 40800776016000.

The previous prime is 102012202009997. The next prime is 102012202010029. The reversal of 102012202010000 is 10202210201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 99881921 + ... + 100898079.

It is an arithmetic number, because the mean of its divisors is an integer number (2470065875904).

Almost surely, 2^{102012202010000} is an apocalyptic number.

102012202010000 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 102012202010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123503293795200).

102012202010000 is an abundant number, since it is smaller than the sum of its proper divisors (144994385580400).

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

102012202010000 is a wasteful number, since it uses less digits than its factorization.

102012202010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026226 (or 1026205 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102012202010000 its reverse (10202210201), we get a palindrome (102022404220201).

The spelling of 102012202010000 in words is "one hundred two trillion, twelve billion, two hundred two million, ten thousand".