20211010120000 has 560 divisors, whose sum is σ = 58027194453888. Its totient is φ = 6839239680000.

The previous prime is 20211010119991. The next prime is 20211010120033. The reversal of 20211010120000 is 2101011202.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7225958602 + ... + 7225961398.

Almost surely, 2^{20211010120000} is an apocalyptic number.

20211010120000 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 20211010120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29013597226944).

20211010120000 is an abundant number, since it is smaller than the sum of its proper divisors (37816184333888).

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

20211010120000 is a wasteful number, since it uses less digits than its factorization.

20211010120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20211010120000 its reverse (2101011202), we get a palindrome (20213111131202).

The spelling of 20211010120000 in words is "twenty trillion, two hundred eleven billion, ten million, one hundred twenty thousand".