20210100212000 has 192 divisors, whose sum is σ = 49781598179040. Its totient is φ = 8063649792000.

The previous prime is 20210100211981. The next prime is 20210100212021. The reversal of 20210100212000 is 21200101202.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 4935666516496 + 15274433695504 = 2221636^2 + 3908252^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5143826036 + ... + 5143829964.

Almost surely, 2^{20210100212000} is an apocalyptic number.

20210100212000 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 20210100212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24890799089520).

20210100212000 is an abundant number, since it is smaller than the sum of its proper divisors (29571497967040).

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

20210100212000 is a wasteful number, since it uses less digits than its factorization.

20210100212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6872 (or 6854 counting only the distinct ones).

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

Adding to 20210100212000 its reverse (21200101202), we get a palindrome (20231300313202).

The spelling of 20210100212000 in words is "twenty trillion, two hundred ten billion, one hundred million, two hundred twelve thousand".