103012002332032 has 128 divisors (see below), whose sum is σ = 213499754496000. Its totient is φ = 49464259393536.

The previous prime is 103012002332027. The next prime is 103012002332087. The reversal of 103012002332032 is 230233200210301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×103012002332032² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103012002331994 and 103012002332012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1256708713 + ... + 1256790679.

It is an arithmetic number, because the mean of its divisors is an integer number (1667966832000).

Almost surely, 2^{103012002332032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103012002332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106749877248000).

103012002332032 is an abundant number, since it is smaller than the sum of its proper divisors (110487752163968).

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

103012002332032 is an equidigital number, since it uses as much as digits as its factorization.

103012002332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85456 (or 85444 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 103012002332032 its reverse (230233200210301), we get a palindrome (333245202542333).

The spelling of 103012002332032 in words is "one hundred three trillion, twelve billion, two million, three hundred thirty-two thousand, thirty-two".