102122102220112 has 80 divisors (see below), whose sum is σ = 227685782958480. Its totient is φ = 43953752825856.

The previous prime is 102122102220053. The next prime is 102122102220137. The reversal of 102122102220112 is 211022201221201.

It can be written as a sum of positive squares in 8 ways, for example, as 4202844407056 + 97919257813056 = 2050084^2 + 9895416^2 .

It is a super-3 number, since 3×102122102220112³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102122102220112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132094783 + ... + 132865630.

It is an arithmetic number, because the mean of its divisors is an integer number (2846072286981).

Almost surely, 2^{102122102220112} is an apocalyptic number.

It is an amenable number.

102122102220112 is an abundant number, since it is smaller than the sum of its proper divisors (125563680738368).

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

102122102220112 is a wasteful number, since it uses less digits than its factorization.

102122102220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264960560 (or 264960554 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 102122102220112 its reverse (211022201221201), we get a palindrome (313144303441313).

The spelling of 102122102220112 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred two million, two hundred twenty thousand, one hundred twelve".