102122202120210 has 40 divisors (see below), whose sum is σ = 274595254592076. Its totient is φ = 27232587231840.

The previous prime is 102122202120139. The next prime is 102122202120271. The reversal of 102122202120210 is 12021202221201.

It is a happy number.

102122202120210 is a `hidden beast` number, since 1 + 0 + 21 + 2 + 220 + 212 + 0 + 210 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95532307527969 + 6589894592241 = 9774063^2 + 2567079^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 63038395561 + ... + 63038397180.

Almost surely, 2^{102122202120210} is an apocalyptic number.

102122202120210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102122202120210 is an abundant number, since it is smaller than the sum of its proper divisors (172473052471866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102122202120210 is a wasteful number, since it uses less digits than its factorization.

102122202120210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126076792760 (or 126076792751 counting only the distinct ones).

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

Adding to 102122202120210 its reverse (12021202221201), we get a palindrome (114143404341411).

The spelling of 102122202120210 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred two million, one hundred twenty thousand, two hundred ten".