102140113200 has 240 divisors, whose sum is σ = 336690117120. Its totient is φ = 26449320960.

The previous prime is 102140113171. The next prime is 102140113213. The reversal of 102140113200 is 2311041201.

It is a tau number, because it is divible by the number of its divisors (240).

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 102140113200.

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, 26060841 + ... + 26064759.

It is an arithmetic number, because the mean of its divisors is an integer number (1402875488).

Almost surely, 2^102140113200 is an apocalyptic number.

102140113200 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 102140113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168345058560).

102140113200 is an abundant number, since it is smaller than the sum of its proper divisors (234550003920).

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

102140113200 is a wasteful number, since it uses less digits than its factorization.

102140113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4564 (or 4553 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102140113200 its reverse (2311041201), we get a palindrome (104451154401).

The spelling of 102140113200 in words is "one hundred two billion, one hundred forty million, one hundred thirteen thousand, two hundred".