20011021000000 has 392 divisors, whose sum is σ = 50230635164640. Its totient is φ = 7909228800000.

The previous prime is 20011020999997. The next prime is 20011021000027. The reversal of 20011021000000 is 12011002.

It is a super-2 number, since 2×20011021000000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 47758999791 + ... + 47759000209.

It is an arithmetic number, because the mean of its divisors is an integer number (128139375420).

Almost surely, 2^{20011021000000} is an apocalyptic number.

20011021000000 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 20011021000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25115317582320).

20011021000000 is an abundant number, since it is smaller than the sum of its proper divisors (30219614164640).

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

20011021000000 is an frugal number, since it uses more digits than its factorization.

20011021000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 20011021000000 its reverse (12011002), we get a palindrome (20011033011002).

The spelling of 20011021000000 in words is "twenty trillion, eleven billion, twenty-one million", and thus it is an aban number and an uban number.