2010090910103 has 16 divisors (see below), whose sum is σ = 2117956896000. Its totient is φ = 1904019976320.

The previous prime is 2010090910097. The next prime is 2010090910123. The reversal of 2010090910103 is 3010190900102.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2010090910103 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010090910123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20753 + ... + 2005146.

It is an arithmetic number, because the mean of its divisors is an integer number (132372306000).

Almost surely, 2^{2010090910103} is an apocalyptic number.

2010090910103 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2010090910103 is a deficient number, since it is larger than the sum of its proper divisors (107865985897).

2010090910103 is a wasteful number, since it uses less digits than its factorization.

2010090910103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026342.

The product of its (nonzero) digits is 486, while the sum is 26.

The spelling of 2010090910103 in words is "two trillion, ten billion, ninety million, nine hundred ten thousand, one hundred three".