10114101929 has 2 divisors, whose sum is σ = 10114101930. Its totient is φ = 10114101928.

The previous prime is 10114101913. The next prime is 10114101931. The reversal of 10114101929 is 92910141101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8436789904 + 1677312025 = 91852^2 + 40955^2 .

It is a cyclic number.

It is not a de Polignac number, because 10114101929 - 2⁴ = 10114101913 is a prime.

Together with 10114101931, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10114101229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5057050964 + 5057050965.

It is an arithmetic number, because the mean of its divisors is an integer number (5057050965).

Almost surely, 2^10114101929 is an apocalyptic number.

It is an amenable number.

10114101929 is a deficient number, since it is larger than the sum of its proper divisors (1).

10114101929 is an equidigital number, since it uses as much as digits as its factorization.

10114101929 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 29.

The spelling of 10114101929 in words is "ten billion, one hundred fourteen million, one hundred one thousand, nine hundred twenty-nine".