102122302122 has 80 divisors (see below), whose sum is σ = 230772385800. Its totient is φ = 33752581632.

The previous prime is 102122302081. The next prime is 102122302129. The reversal of 102122302122 is 221203221201.

102122302122 is a `hidden beast` number, since 10 + 212 + 230 + 212 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9085711761 + 93036590361 = 95319^2 + 305019^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 102122302095 and 102122302104.

It is not an unprimeable number, because it can be changed into a prime (102122302129) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14889718 + ... + 14896574.

Almost surely, 2^102122302122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102122302122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115386192900).

102122302122 is an abundant number, since it is smaller than the sum of its proper divisors (128650083678).

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

102122302122 is a wasteful number, since it uses less digits than its factorization.

102122302122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7637 (or 7628 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102122302122 its reverse (221203221201), we get a palindrome (323325523323).

The spelling of 102122302122 in words is "one hundred two billion, one hundred twenty-two million, three hundred two thousand, one hundred twenty-two".