201020110011021 has 64 divisors (see below), whose sum is σ = 310742644432896. Its totient is φ = 113219122368000.

The previous prime is 201020110010987. The next prime is 201020110011101. The reversal of 201020110011021 is 120110011020102.

It is not a de Polignac number, because 201020110011021 - 2⁶ = 201020110010957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201020110010988 and 201020110011006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201020110021021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8619692041 + ... + 8619715361.

It is an arithmetic number, because the mean of its divisors is an integer number (4855353819264).

Almost surely, 2^{201020110011021} is an apocalyptic number.

201020110011021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201020110011021 is a deficient number, since it is larger than the sum of its proper divisors (109722534421875).

201020110011021 is a wasteful number, since it uses less digits than its factorization.

201020110011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41562.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201020110011021 its reverse (120110011020102), we get a palindrome (321130121031123).

The spelling of 201020110011021 in words is "two hundred one trillion, twenty billion, one hundred ten million, eleven thousand, twenty-one".