1010103100032 has 128 divisors (see below), whose sum is σ = 2892216136320. Its totient is φ = 310506393600.

The previous prime is 1010103099959. The next prime is 1010103100051. The reversal of 1010103100032 is 2300013010101.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1010103099990 and 1010103100017.

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, 5201157 + ... + 5391867.

It is an arithmetic number, because the mean of its divisors is an integer number (22595438565).

Almost surely, 2^{1010103100032} is an apocalyptic number.

1010103100032 is a gapful number since it is divisible by the number (12) 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 1010103100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446108068160).

1010103100032 is an abundant number, since it is smaller than the sum of its proper divisors (1882113036288).

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

1010103100032 is a wasteful number, since it uses less digits than its factorization.

1010103100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191802 (or 191790 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1010103100032 its reverse (2300013010101), we get a palindrome (3310116110133).

The spelling of 1010103100032 in words is "one trillion, ten billion, one hundred three million, one hundred thousand, thirty-two".