101111012202049 has 2 divisors, whose sum is σ = 101111012202050. Its totient is φ = 101111012202048.

The previous prime is 101111012201977. The next prime is 101111012202143. The reversal of 101111012202049 is 940202210111101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66611600297649 + 34499411904400 = 8161593^2 + 5873620^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111012202049 - 2³⁵ = 101076652463681 is a prime.

It is not a weakly prime, because it can be changed into another prime (101111012202349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555506101024 + 50555506101025.

It is an arithmetic number, because the mean of its divisors is an integer number (50555506101025).

Almost surely, 2^{101111012202049} is an apocalyptic number.

It is an amenable number.

101111012202049 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111012202049 is an equidigital number, since it uses as much as digits as its factorization.

101111012202049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 101111012202049 in words is "one hundred one trillion, one hundred eleven billion, twelve million, two hundred two thousand, forty-nine".