202112001000000 has 3528 divisors, whose sum is σ = 919983209064192. Its totient is φ = 41513472000000.

The previous prime is 202112000999873. The next prime is 202112001000047. The reversal of 202112001000000 is 100211202.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 436526999769 + ... + 436527000231.

Almost surely, 2^{202112001000000} is an apocalyptic number.

202112001000000 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 202112001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459991604532096).

202112001000000 is an abundant number, since it is smaller than the sum of its proper divisors (717871208064192).

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

202112001000000 is an equidigital number, since it uses as much as digits as its factorization.

202112001000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 534 counting only the distinct ones).

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

Adding to 202112001000000 its reverse (100211202), we get a palindrome (202112101211202).

The spelling of 202112001000000 in words is "two hundred two trillion, one hundred twelve billion, one million", and thus it is an aban number.