1010132103200 has 144 divisors (see below), whose sum is σ = 2712401082720. Its totient is φ = 367320377600.

The previous prime is 1010132103163. The next prime is 1010132103209. The reversal of 1010132103200 is 23012310101.

It is not an unprimeable number, because it can be changed into a prime (1010132103209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 590471 + ... + 1539129.

It is an arithmetic number, because the mean of its divisors is an integer number (18836118630).

Almost surely, 2^{1010132103200} is an apocalyptic number.

1010132103200 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 1010132103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356200541360).

1010132103200 is an abundant number, since it is smaller than the sum of its proper divisors (1702268979520).

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

1010132103200 is an equidigital number, since it uses as much as digits as its factorization.

1010132103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948712 (or 948677 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1010132103200 its reverse (23012310101), we get a palindrome (1033144413301).

The spelling of 1010132103200 in words is "one trillion, ten billion, one hundred thirty-two million, one hundred three thousand, two hundred".