10112132101000 has 128 divisors (see below), whose sum is σ = 24911469648000. Its totient is φ = 3831397920000.

The previous prime is 10112132100989. The next prime is 10112132101007. The reversal of 10112132101000 is 10123121101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10112132101007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141533286 + ... + 141604714.

It is an arithmetic number, because the mean of its divisors is an integer number (194620856625).

Almost surely, 2^{10112132101000} is an apocalyptic number.

10112132101000 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 10112132101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12455734824000).

10112132101000 is an abundant number, since it is smaller than the sum of its proper divisors (14799337547000).

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

10112132101000 is a wasteful number, since it uses less digits than its factorization.

10112132101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78920 (or 78906 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10112132101000 its reverse (10123121101), we get a palindrome (10122255222101).

The spelling of 10112132101000 in words is "ten trillion, one hundred twelve billion, one hundred thirty-two million, one hundred one thousand".