102581240200 has 192 divisors, whose sum is σ = 257259784320. Its totient is φ = 37900800000.

The previous prime is 102581240197. The next prime is 102581240219. The reversal of 102581240200 is 2042185201.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 60590554 + ... + 60592246.

It is an arithmetic number, because the mean of its divisors is an integer number (1339894710).

Almost surely, 2^102581240200 is an apocalyptic number.

102581240200 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 102581240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128629892160).

102581240200 is an abundant number, since it is smaller than the sum of its proper divisors (154678544120).

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

102581240200 is a wasteful number, since it uses less digits than its factorization.

102581240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The spelling of 102581240200 in words is "one hundred two billion, five hundred eighty-one million, two hundred forty thousand, two hundred".