10100100010123 has 2 divisors, whose sum is σ = 10100100010124. Its totient is φ = 10100100010122.

The previous prime is 10100100010073. The next prime is 10100100010163. The reversal of 10100100010123 is 32101000100101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10100100010123 - 2²⁵ = 10100066455691 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100100010163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050050005061 + 5050050005062.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050005062).

Almost surely, 2^{10100100010123} is an apocalyptic number.

10100100010123 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100100010123 is an equidigital number, since it uses as much as digits as its factorization.

10100100010123 is an evil number, because the sum of its binary digits is even.

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

Adding to 10100100010123 its reverse (32101000100101), we get a palindrome (42201100110224).

The spelling of 10100100010123 in words is "ten trillion, one hundred billion, one hundred million, ten thousand, one hundred twenty-three".