101110128994249 has 2 divisors, whose sum is σ = 101110128994250. Its totient is φ = 101110128994248.

The previous prime is 101110128994219. The next prime is 101110128994267. The reversal of 101110128994249 is 942499821011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92792280765625 + 8317848228624 = 9632875^2 + 2884068^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110128994249 - 2⁹ = 101110128993737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101110128994196 and 101110128994205.

It is not a weakly prime, because it can be changed into another prime (101110128994219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555064497124 + 50555064497125.

It is an arithmetic number, because the mean of its divisors is an integer number (50555064497125).

Almost surely, 2^{101110128994249} is an apocalyptic number.

It is an amenable number.

101110128994249 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110128994249 is an equidigital number, since it uses as much as digits as its factorization.

101110128994249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 373248, while the sum is 52.

The spelling of 101110128994249 in words is "one hundred one trillion, one hundred ten billion, one hundred twenty-eight million, nine hundred ninety-four thousand, two hundred forty-nine".