20101000011021 has 24 divisors (see below), whose sum is σ = 29256029449920. Its totient is φ = 13298726448000.

The previous prime is 20101000011007. The next prime is 20101000011031. The reversal of 20101000011021 is 12011000010102.

It is a happy number.

It is not a de Polignac number, because 20101000011021 - 2⁶ = 20101000010957 is a prime.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20101000010994 and 20101000011012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101000011031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5958315 + ... + 8700776.

It is an arithmetic number, because the mean of its divisors is an integer number (1219001227080).

Almost surely, 2^{20101000011021} is an apocalyptic number.

It is an amenable number.

20101000011021 is a deficient number, since it is larger than the sum of its proper divisors (9155029438899).

20101000011021 is a wasteful number, since it uses less digits than its factorization.

20101000011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14660257 (or 14660254 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20101000011021 its reverse (12011000010102), we get a palindrome (32112000021123).

The spelling of 20101000011021 in words is "twenty trillion, one hundred one billion, eleven thousand, twenty-one".