102122100220122 has 48 divisors (see below), whose sum is σ = 228422107291560. Its totient is φ = 32949071364096.

The previous prime is 102122100220109. The next prime is 102122100220123. The reversal of 102122100220122 is 221022001221201.

It is a happy number.

102122100220122 is a `hidden beast` number, since 1 + 0 + 212 + 210 + 0 + 220 + 1 + 22 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 80168761597401 + 21953338622721 = 8953701^2 + 4685439^2 .

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 = 102122100220095 and 102122100220104.

It is not an unprimeable number, because it can be changed into a prime (102122100220123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397116247 + ... + 397373322.

Almost surely, 2^{102122100220122} is an apocalyptic number.

102122100220122 is an abundant number, since it is smaller than the sum of its proper divisors (126300007071438).

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

102122100220122 is a wasteful number, since it uses less digits than its factorization.

102122100220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794489807 (or 794489804 counting only the distinct ones).

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

Adding to 102122100220122 its reverse (221022001221201), we get a palindrome (323144101441323).

The spelling of 102122100220122 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred million, two hundred twenty thousand, one hundred twenty-two".