102202210221021 has 56 divisors (see below), whose sum is σ = 153458173863000. Its totient is φ = 68034824387712.

The previous prime is 102202210220993. The next prime is 102202210221043. The reversal of 102202210221021 is 120122012202201.

It is a happy number.

102202210221021 is a `hidden beast` number, since 1 + 0 + 220 + 2 + 210 + 2 + 210 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32858518095225 + 69343692125796 = 5732235^2 + 8327286^2 .

It is not a de Polignac number, because 102202210221021 - 2⁷ = 102202210220893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102202210220985 and 102202210221003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202210221821) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2555738095 + ... + 2555778083.

Almost surely, 2^{102202210221021} is an apocalyptic number.

It is an amenable number.

102202210221021 is a deficient number, since it is larger than the sum of its proper divisors (51255963641979).

102202210221021 is an frugal number, since it uses more digits than its factorization.

102202210221021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45065 (or 45050 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102202210221021 its reverse (120122012202201), we get a palindrome (222324222423222).

The spelling of 102202210221021 in words is "one hundred two trillion, two hundred two billion, two hundred ten million, two hundred twenty-one thousand, twenty-one".