10101100000919 has 2 divisors, whose sum is σ = 10101100000920. Its totient is φ = 10101100000918.

The previous prime is 10101100000891. The next prime is 10101100000933. The reversal of 10101100000919 is 91900000110101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10101100000919 is a prime.

It is a super-2 number, since 2×10101100000919² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10101100000894 and 10101100000903.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101100000819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050550000459 + 5050550000460.

It is an arithmetic number, because the mean of its divisors is an integer number (5050550000460).

Almost surely, 2^{10101100000919} is an apocalyptic number.

10101100000919 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101100000919 is an equidigital number, since it uses as much as digits as its factorization.

10101100000919 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 23.

The spelling of 10101100000919 in words is "ten trillion, one hundred one billion, one hundred million, nine hundred nineteen", and thus it is an aban number.