10000101110123 has 2 divisors, whose sum is σ = 10000101110124. Its totient is φ = 10000101110122.

The previous prime is 10000101110071. The next prime is 10000101110177. The reversal of 10000101110123 is 32101110100001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10000101110123 - 2²⁶ = 10000034001259 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000101110023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000050555061 + 5000050555062.

It is an arithmetic number, because the mean of its divisors is an integer number (5000050555062).

Almost surely, 2^{10000101110123} is an apocalyptic number.

10000101110123 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000101110123 is an equidigital number, since it uses as much as digits as its factorization.

10000101110123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10000101110123 its reverse (32101110100001), we get a palindrome (42101211210124).

The spelling of 10000101110123 in words is "ten trillion, one hundred one million, one hundred ten thousand, one hundred twenty-three".