10100110119929 has 2 divisors, whose sum is σ = 10100110119930. Its totient is φ = 10100110119928.

The previous prime is 10100110119923. The next prime is 10100110120033. The reversal of 10100110119929 is 92991101100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6099418090000 + 4000692029929 = 2469700^2 + 2000173^2 .

It is an emirp because it is prime and its reverse (92991101100101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10100110119929 - 2⁴⁰ = 9000598492153 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100110119923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050055059964 + 5050055059965.

It is an arithmetic number, because the mean of its divisors is an integer number (5050055059965).

Almost surely, 2^{10100110119929} is an apocalyptic number.

It is an amenable number.

10100110119929 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100110119929 is an equidigital number, since it uses as much as digits as its factorization.

10100110119929 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 35.

The spelling of 10100110119929 in words is "ten trillion, one hundred billion, one hundred ten million, one hundred nineteen thousand, nine hundred twenty-nine".