101120516129249 has 2 divisors, whose sum is σ = 101120516129250. Its totient is φ = 101120516129248.

The previous prime is 101120516129177. The next prime is 101120516129279. The reversal of 101120516129249 is 942921615021101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99143840410000 + 1976675719249 = 9957100^2 + 1405943^2 .

It is a cyclic number.

It is not a de Polignac number, because 101120516129249 - 2⁸ = 101120516128993 is a prime.

It is not a weakly prime, because it can be changed into another prime (101120516129279) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560258064624 + 50560258064625.

It is an arithmetic number, because the mean of its divisors is an integer number (50560258064625).

Almost surely, 2^{101120516129249} is an apocalyptic number.

It is an amenable number.

101120516129249 is a deficient number, since it is larger than the sum of its proper divisors (1).

101120516129249 is an equidigital number, since it uses as much as digits as its factorization.

101120516129249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 44.

The spelling of 101120516129249 in words is "one hundred one trillion, one hundred twenty billion, five hundred sixteen million, one hundred twenty-nine thousand, two hundred forty-nine".