202102112010000 has 800 divisors, whose sum is σ = 699457296117888. Its totient is φ = 50089881600000.

The previous prime is 202102112009947. The next prime is 202102112010107. The reversal of 202102112010000 is 10211201202.

202102112010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20449465059 + ... + 20449474941.

Almost surely, 2^{202102112010000} is an apocalyptic number.

202102112010000 is a gapful number since it is divisible by the number (20) 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 202102112010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349728648058944).

202102112010000 is an abundant number, since it is smaller than the sum of its proper divisors (497355184107888).

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

202102112010000 is a wasteful number, since it uses less digits than its factorization.

202102112010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10429 (or 10408 counting only the distinct ones).

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

Adding to 202102112010000 its reverse (10211201202), we get a palindrome (202112323211202).

The spelling of 202102112010000 in words is "two hundred two trillion, one hundred two billion, one hundred twelve million, ten thousand".