101022102220021 has 18 divisors (see below), whose sum is σ = 102348326692322. Its totient is φ = 99712887436800.

The previous prime is 101022102219989. The next prime is 101022102220057. The reversal of 101022102220021 is 120022201220101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 24697172640625 + 76324929579396 = 4969625^2 + 8736414^2 .

It is not a de Polignac number, because 101022102220021 - 2⁵ = 101022102219989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101022102219977 and 101022102220004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022102229021) 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 17 ways as a sum of consecutive naturals, for example, 10203217171 + ... + 10203227071.

Almost surely, 2^{101022102220021} is an apocalyptic number.

It is an amenable number.

101022102220021 is a deficient number, since it is larger than the sum of its proper divisors (1326224472301).

101022102220021 is an frugal number, since it uses more digits than its factorization.

101022102220021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12501 (or 11201 counting only the distinct ones).

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

Adding to 101022102220021 its reverse (120022201220101), we get a palindrome (221044303440122).

The spelling of 101022102220021 in words is "one hundred one trillion, twenty-two billion, one hundred two million, two hundred twenty thousand, twenty-one".