10102502344000 has 224 divisors, whose sum is σ = 27304013992320. Its totient is φ = 3672193536000.

The previous prime is 10102502343991. The next prime is 10102502344021. The reversal of 10102502344000 is 44320520101.

It is a super-2 number, since 2×10102502344000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238194796 + ... + 238237204.

Almost surely, 2^{10102502344000} is an apocalyptic number.

10102502344000 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 10102502344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13652006996160).

10102502344000 is an abundant number, since it is smaller than the sum of its proper divisors (17201511648320).

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

10102502344000 is a wasteful number, since it uses less digits than its factorization.

10102502344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45154 (or 45134 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 10102502344000 its reverse (44320520101), we get a palindrome (10146822864101).

The spelling of 10102502344000 in words is "ten trillion, one hundred two billion, five hundred two million, three hundred forty-four thousand".