102122120110120 has 192 divisors, whose sum is σ = 261389698693200. Its totient is φ = 35856069427200.

The previous prime is 102122120110117. The next prime is 102122120110141. The reversal of 102122120110120 is 21011021221201.

It can be written as a sum of positive squares in 8 ways, for example, as 50735960834724 + 51386159275396 = 7122918^2 + 7168414^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102122120110094 and 102122120110103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16595976 + ... + 21901384.

Almost surely, 2^{102122120110120} is an apocalyptic number.

102122120110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102122120110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130694849346600).

102122120110120 is an abundant number, since it is smaller than the sum of its proper divisors (159267578583080).

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

102122120110120 is a wasteful number, since it uses less digits than its factorization.

102122120110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5305580 (or 5305565 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102122120110120 its reverse (21011021221201), we get a palindrome (123133141331321).

The spelling of 102122120110120 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twenty million, one hundred ten thousand, one hundred twenty".