101022022112021 has 2 divisors, whose sum is σ = 101022022112022. Its totient is φ = 101022022112020.

The previous prime is 101022022111999. The next prime is 101022022112029. The reversal of 101022022112021 is 120211220220101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62065562548900 + 38956459563121 = 7878170^2 + 6241511^2 .

It is an emirp because it is prime and its reverse (120211220220101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101022022112021 - 2¹⁴ = 101022022095637 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101022022112029) 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 as a sum of consecutive naturals, namely, 50511011056010 + 50511011056011.

It is an arithmetic number, because the mean of its divisors is an integer number (50511011056011).

Almost surely, 2^{101022022112021} is an apocalyptic number.

It is an amenable number.

101022022112021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022022112021 is an equidigital number, since it uses as much as digits as its factorization.

101022022112021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101022022112021 its reverse (120211220220101), we get a palindrome (221233242332122).

The spelling of 101022022112021 in words is "one hundred one trillion, twenty-two billion, twenty-two million, one hundred twelve thousand, twenty-one".