102251301500400 has 960 divisors, whose sum is σ = 383826733516800. Its totient is φ = 23034199080960.

The previous prime is 102251301500371. The next prime is 102251301500419. The reversal of 102251301500400 is 4005103152201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26091169641 + ... + 26091173559.

It is an arithmetic number, because the mean of its divisors is an integer number (399819514080).

Almost surely, 2^{102251301500400} is an apocalyptic number.

102251301500400 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 102251301500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191913366758400).

102251301500400 is an abundant number, since it is smaller than the sum of its proper divisors (281575432016400).

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

102251301500400 is a wasteful number, since it uses less digits than its factorization.

102251301500400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6666 (or 6655 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 102251301500400 its reverse (4005103152201), we get a palindrome (106256404652601).

The spelling of 102251301500400 in words is "one hundred two trillion, two hundred fifty-one billion, three hundred one million, five hundred thousand, four hundred".