120102525200 has 120 divisors (see below), whose sum is σ = 329978308608. Its totient is φ = 41151651840.

The previous prime is 120102525173. The next prime is 120102525227. The reversal of 120102525200 is 2525201021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120102525173) and next prime (120102525227).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4643504 + ... + 4669296.

Almost surely, 2^120102525200 is an apocalyptic number.

120102525200 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 120102525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989154304).

120102525200 is an abundant number, since it is smaller than the sum of its proper divisors (209875783408).

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

120102525200 is a wasteful number, since it uses less digits than its factorization.

120102525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27481 (or 27470 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 120102525200 its reverse (2525201021), we get a palindrome (122627726221).

The spelling of 120102525200 in words is "one hundred twenty billion, one hundred two million, five hundred twenty-five thousand, two hundred".