21012101011020 has 288 divisors, whose sum is σ = 69000739799040. Its totient is φ = 4763399477760.

The previous prime is 21012101010907. The next prime is 21012101011039. The reversal of 21012101011020 is 2011010121012.

It is a super-2 number, since 2×21012101011020² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21012101010987 and 21012101011005.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1460281986 + ... + 1460296374.

It is an arithmetic number, because the mean of its divisors is an integer number (239585902080).

Almost surely, 2^{21012101011020} is an apocalyptic number.

21012101011020 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 21012101011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34500369899520).

21012101011020 is an abundant number, since it is smaller than the sum of its proper divisors (47988638788020).

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

21012101011020 is a wasteful number, since it uses less digits than its factorization.

21012101011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18453 (or 18444 counting only the distinct ones).

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

Adding to 21012101011020 its reverse (2011010121012), we get a palindrome (23023111132032).

The spelling of 21012101011020 in words is "twenty-one trillion, twelve billion, one hundred one million, eleven thousand, twenty".