102122525000 has 96 divisors (see below), whose sum is σ = 247056687360. Its totient is φ = 39531000000.

The previous prime is 102122524993. The next prime is 102122525017. The reversal of 102122525000 is 525221201.

It is a happy number.

102122525000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102122525000² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709115 + ... + 840885.

It is an arithmetic number, because the mean of its divisors is an integer number (2573507160).

Almost surely, 2^102122525000 is an apocalyptic number.

102122525000 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 102122525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123528343680).

102122525000 is an abundant number, since it is smaller than the sum of its proper divisors (144934162360).

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

102122525000 is an equidigital number, since it uses as much as digits as its factorization.

102122525000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131833 (or 131809 counting only the distinct ones).

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

Adding to 102122525000 its reverse (525221201), we get a palindrome (102647746201).

The spelling of 102122525000 in words is "one hundred two billion, one hundred twenty-two million, five hundred twenty-five thousand".