103101032000 has 112 divisors (see below), whose sum is σ = 264134772720. Its totient is φ = 39818240000.

The previous prime is 103101031973. The next prime is 103101032009. The reversal of 103101032000 is 230101301.

It can be written as a sum of positive squares in 8 ways, for example, as 14739902464 + 88361129536 = 121408^2 + 297256^2 .

It is not an unprimeable number, because it can be changed into a prime (103101032009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9800 + ... + 454200.

It is an arithmetic number, because the mean of its divisors is an integer number (2358346185).

Almost surely, 2^103101032000 is an apocalyptic number.

103101032000 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 103101032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132067386360).

103101032000 is an abundant number, since it is smaller than the sum of its proper divisors (161033740720).

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

103101032000 is an equidigital number, since it uses as much as digits as its factorization.

103101032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444457 (or 444437 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 103101032000 its reverse (230101301), we get a palindrome (103331133301).

The spelling of 103101032000 in words is "one hundred three billion, one hundred one million, thirty-two thousand".