101121110249 has 2 divisors, whose sum is σ = 101121110250. Its totient is φ = 101121110248.

The previous prime is 101121110221. The next prime is 101121110287. The reversal of 101121110249 is 942011121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88897596649 + 12223513600 = 298157^2 + 110560^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121110249 - 2⁸ = 101121109993 is a prime.

It is not a weakly prime, because it can be changed into another prime (101121112249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560555124 + 50560555125.

It is an arithmetic number, because the mean of its divisors is an integer number (50560555125).

Almost surely, 2^101121110249 is an apocalyptic number.

It is an amenable number.

101121110249 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121110249 is an equidigital number, since it uses as much as digits as its factorization.

101121110249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 101121110249 in words is "one hundred one billion, one hundred twenty-one million, one hundred ten thousand, two hundred forty-nine".