202112010000 has 250 divisors, whose sum is σ = 730982434182. Its totient is φ = 53896320000.

The previous prime is 202112009987. The next prime is 202112010017. The reversal of 202112010000 is 10211202.

It can be written as a sum of positive squares in 5 ways, for example, as 76600525824 + 125511484176 = 276768^2 + 354276^2 .

It is a tau number, because it is divible by the number of its divisors (250).

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 49 ways as a sum of consecutive naturals, for example, 685240 + ... + 934760.

Almost surely, 2^202112010000 is an apocalyptic number.

202112010000 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 202112010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365491217091).

202112010000 is an abundant number, since it is smaller than the sum of its proper divisors (528870424182).

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

202112010000 is an equidigital number, since it uses as much as digits as its factorization.

202112010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249561 (or 249531 counting only the distinct ones).

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

Adding to 202112010000 its reverse (10211202), we get a palindrome (202122221202).

It can be divided in two parts, 2021120 and 10000, that added together give a triangular number (2031120 = T₂₀₁₅).

The spelling of 202112010000 in words is "two hundred two billion, one hundred twelve million, ten thousand".