102250400000 has 648 divisors, whose sum is σ = 317119078080. Its totient is φ = 32140800000.

The previous prime is 102250399973. The next prime is 102250400023. The reversal of 102250400000 is 4052201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3298399985 + ... + 3298400015.

Almost surely, 2^102250400000 is an apocalyptic number.

102250400000 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 102250400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158559539040).

102250400000 is an abundant number, since it is smaller than the sum of its proper divisors (214868678080).

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

102250400000 is an frugal number, since it uses more digits than its factorization.

102250400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

Adding to 102250400000 its reverse (4052201), we get a palindrome (102254452201).

The spelling of 102250400000 in words is "one hundred two billion, two hundred fifty million, four hundred thousand".