102100233120 has 192 divisors, whose sum is σ = 347693834880. Its totient is φ = 25096531968.

The previous prime is 102100233119. The next prime is 102100233127. The reversal of 102100233120 is 21332001201.

It is a super-3 number, since 3×102100233120³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102100233120.

It is not an unprimeable number, because it can be changed into a prime (102100233127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186154 + ... + 488726.

It is an arithmetic number, because the mean of its divisors is an integer number (1810905390).

Almost surely, 2^102100233120 is an apocalyptic number.

102100233120 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 102100233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173846917440).

102100233120 is an abundant number, since it is smaller than the sum of its proper divisors (245593601760).

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

102100233120 is a wasteful number, since it uses less digits than its factorization.

102100233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302647 (or 302639 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102100233120 its reverse (21332001201), we get a palindrome (123432234321).

The spelling of 102100233120 in words is "one hundred two billion, one hundred million, two hundred thirty-three thousand, one hundred twenty".