10111101000929 has 2 divisors, whose sum is σ = 10111101000930. Its totient is φ = 10111101000928.

The previous prime is 10111101000859. The next prime is 10111101000991. The reversal of 10111101000929 is 92900010111101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6362617790929 + 3748483210000 = 2522423^2 + 1936100^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10111101000929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10111101000898 and 10111101000907.

It is not a weakly prime, because it can be changed into another prime (10111101000029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055550500464 + 5055550500465.

It is an arithmetic number, because the mean of its divisors is an integer number (5055550500465).

Almost surely, 2^{10111101000929} is an apocalyptic number.

It is an amenable number.

10111101000929 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111101000929 is an equidigital number, since it uses as much as digits as its factorization.

10111101000929 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 26.

The spelling of 10111101000929 in words is "ten trillion, one hundred eleven billion, one hundred one million, nine hundred twenty-nine", and thus it is an aban number.