101022021022021 has 16 divisors (see below), whose sum is σ = 111458055456576. Its totient is φ = 90797320800000.

The previous prime is 101022021022009. The next prime is 101022021022031. The reversal of 101022021022021 is 120220120220101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101022021022021 - 2⁷ = 101022021021893 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101022021021986 and 101022021022004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022021022031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65027460 + ... + 66562861.

It is an arithmetic number, because the mean of its divisors is an integer number (6966128466036).

Almost surely, 2^{101022021022021} is an apocalyptic number.

101022021022021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101022021022021 is a deficient number, since it is larger than the sum of its proper divisors (10436034434555).

101022021022021 is a wasteful number, since it uses less digits than its factorization.

101022021022021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131591124.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101022021022021 its reverse (120220120220101), we get a palindrome (221242141242122).

The spelling of 101022021022021 in words is "one hundred one trillion, twenty-two billion, twenty-one million, twenty-two thousand, twenty-one".