10011122021021 has 32 divisors (see below), whose sum is σ = 11705487372288. Its totient is φ = 8469012594240.

The previous prime is 10011122021011. The next prime is 10011122021027. The reversal of 10011122021021 is 12012022111001.

It is not a de Polignac number, because 10011122021021 - 2¹⁸ = 10011121758877 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10011122020987 and 10011122021005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011122021027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82344140 + ... + 82465626.

It is an arithmetic number, because the mean of its divisors is an integer number (365796480384).

Almost surely, 2^{10011122021021} is an apocalyptic number.

10011122021021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011122021021 is a deficient number, since it is larger than the sum of its proper divisors (1694365351267).

10011122021021 is a wasteful number, since it uses less digits than its factorization.

10011122021021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130361.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10011122021021 its reverse (12012022111001), we get a palindrome (22023144132022).

The spelling of 10011122021021 in words is "ten trillion, eleven billion, one hundred twenty-two million, twenty-one thousand, twenty-one".