101012110111049 has 2 divisors, whose sum is σ = 101012110111050. Its totient is φ = 101012110111048.

The previous prime is 101012110110949. The next prime is 101012110111127. The reversal of 101012110111049 is 940111011210101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78719481760000 + 22292628351049 = 8872400^2 + 4721507^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101012110111049 is a prime.

It is a super-2 number, since 2×101012110111049² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101012110113049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506055055524 + 50506055055525.

It is an arithmetic number, because the mean of its divisors is an integer number (50506055055525).

Almost surely, 2^{101012110111049} is an apocalyptic number.

It is an amenable number.

101012110111049 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012110111049 is an equidigital number, since it uses as much as digits as its factorization.

101012110111049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 23.

The spelling of 101012110111049 in words is "one hundred one trillion, twelve billion, one hundred ten million, one hundred eleven thousand, forty-nine".