102410141200 has 120 divisors (see below), whose sum is σ = 247747337600. Its totient is φ = 40680921600.

The previous prime is 102410141129. The next prime is 102410141219. The reversal of 102410141200 is 2141014201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 37830247 + ... + 37832953.

Almost surely, 2^102410141200 is an apocalyptic number.

102410141200 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 102410141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123873668800).

102410141200 is an abundant number, since it is smaller than the sum of its proper divisors (145337196400).

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

102410141200 is a wasteful number, since it uses less digits than its factorization.

102410141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102410141200 its reverse (2141014201), we get a palindrome (104551155401).

The spelling of 102410141200 in words is "one hundred two billion, four hundred ten million, one hundred forty-one thousand, two hundred".