202010212000000 has 252 divisors, whose sum is σ = 504481366540228. Its totient is φ = 80732160000000.

The previous prime is 202010211999971. The next prime is 202010212000027. The reversal of 202010212000000 is 212010202.

It can be written as a sum of positive squares in 14 ways, for example, as 189668424704256 + 12341787295744 = 13772016^2 + 3513088^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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 27 ways as a sum of consecutive naturals, for example, 4611978100 + ... + 4612021900.

Almost surely, 2^{202010212000000} is an apocalyptic number.

202010212000000 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 202010212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252240683270114).

202010212000000 is an abundant number, since it is smaller than the sum of its proper divisors (302471154540228).

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

202010212000000 is an frugal number, since it uses more digits than its factorization.

202010212000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45000 (or 44961 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 202010212000000 its reverse (212010202), we get a palindrome (202010424010202).

The spelling of 202010212000000 in words is "two hundred two trillion, ten billion, two hundred twelve million", and thus it is an aban number.