1012103120032 has 96 divisors (see below), whose sum is σ = 2053551709440. Its totient is φ = 490723860480.

The previous prime is 1012103120009. The next prime is 1012103120057. The reversal of 1012103120032 is 2300213012101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1012103119988 and 1012103120015.

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, 185943103 + ... + 185948545.

It is an arithmetic number, because the mean of its divisors is an integer number (21391163640).

Almost surely, 2^{1012103120032} 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 1012103120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026775854720).

1012103120032 is an abundant number, since it is smaller than the sum of its proper divisors (1041448589408).

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

1012103120032 is a wasteful number, since it uses less digits than its factorization.

1012103120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6326 (or 6318 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1012103120032 its reverse (2300213012101), we get a palindrome (3312316132133).

The spelling of 1012103120032 in words is "one trillion, twelve billion, one hundred three million, one hundred twenty thousand, thirty-two".