102100002122120 has 128 divisors (see below), whose sum is σ = 234814979484000. Its totient is φ = 39945739468800.

The previous prime is 102100002122119. The next prime is 102100002122177. The reversal of 102100002122120 is 21221200001201.

It can be written as a sum of positive squares in 16 ways, for example, as 16390141728676 + 85709860393444 = 4048474^2 + 9257962^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102100002122095 and 102100002122104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405817484 + ... + 406068996.

Almost surely, 2^{102100002122120} is an apocalyptic number.

102100002122120 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 102100002122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117407489742000).

102100002122120 is an abundant number, since it is smaller than the sum of its proper divisors (132714977361880).

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

102100002122120 is a wasteful number, since it uses less digits than its factorization.

102100002122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252843 (or 252839 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102100002122120 its reverse (21221200001201), we get a palindrome (123321202123321).

The spelling of 102100002122120 in words is "one hundred two trillion, one hundred billion, two million, one hundred twenty-two thousand, one hundred twenty".