10100110000123 has 32 divisors (see below), whose sum is σ = 11885266391040. Its totient is φ = 8461769007360.

The previous prime is 10100110000087. The next prime is 10100110000157. The reversal of 10100110000123 is 32100001100101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100110000123 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100110000193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223832358 + ... + 223877476.

It is an arithmetic number, because the mean of its divisors is an integer number (371414574720).

Almost surely, 2^{10100110000123} is an apocalyptic number.

10100110000123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10100110000123 is a deficient number, since it is larger than the sum of its proper divisors (1785156390917).

10100110000123 is a wasteful number, since it uses less digits than its factorization.

10100110000123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47667.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10100110000123 its reverse (32100001100101), we get a palindrome (42200111100224).

The spelling of 10100110000123 in words is "ten trillion, one hundred billion, one hundred ten million, one hundred twenty-three", and thus it is an aban number.