10102532000000 has 378 divisors, whose sum is σ = 27707841858522. Its totient is φ = 3673472000000.

The previous prime is 10102531999999. The next prime is 10102532000083. The reversal of 10102532000000 is 23520101.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 9951652581376 + 150879418624 = 3154624^2 + 388432^2 .

It is a super-2 number, since 2×10102532000000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 483989564 + ... + 484010436.

Almost surely, 2^{10102532000000} is an apocalyptic number.

10102532000000 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 10102532000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13853920929261).

10102532000000 is an abundant number, since it is smaller than the sum of its proper divisors (17605309858522).

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

10102532000000 is an frugal number, since it uses more digits than its factorization.

10102532000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20941 (or 20891 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

Adding to 10102532000000 its reverse (23520101), we get a palindrome (10102555520101).

The spelling of 10102532000000 in words is "ten trillion, one hundred two billion, five hundred thirty-two million", and thus it is an aban number.