101111002049 has 2 divisors, whose sum is σ = 101111002050. Its totient is φ = 101111002048.

The previous prime is 101111001991. The next prime is 101111002087. The reversal of 101111002049 is 940200111101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89554752049 + 11556250000 = 299257^2 + 107500^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111002049 - 2²⁰ = 101109953473 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101111002049.

It is not a weakly prime, because it can be changed into another prime (101111002249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555501024 + 50555501025.

It is an arithmetic number, because the mean of its divisors is an integer number (50555501025).

Almost surely, 2^101111002049 is an apocalyptic number.

It is an amenable number.

101111002049 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111002049 is an equidigital number, since it uses as much as digits as its factorization.

101111002049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 101111002049 in words is "one hundred one billion, one hundred eleven million, two thousand, forty-nine".