10100100311111 has 2 divisors, whose sum is σ = 10100100311112. Its totient is φ = 10100100311110.

The previous prime is 10100100311069. The next prime is 10100100311113. The reversal of 10100100311111 is 11111300100101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10100100311111 - 2⁶ = 10100100311047 is a prime.

It is a Sophie Germain prime.

Together with 10100100311113, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100100311092 and 10100100311101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100100311113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050050155555 + 5050050155556.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050155556).

Almost surely, 2^{10100100311111} is an apocalyptic number.

10100100311111 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100100311111 is an equidigital number, since it uses as much as digits as its factorization.

10100100311111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 10100100311111 its reverse (11111300100101), we get a palindrome (21211400411212).

The spelling of 10100100311111 in words is "ten trillion, one hundred billion, one hundred million, three hundred eleven thousand, one hundred eleven".