101102222020249 has 2 divisors, whose sum is σ = 101102222020250. Its totient is φ = 101102222020248.

The previous prime is 101102222020207. The next prime is 101102222020253. The reversal of 101102222020249 is 942020222201101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81090601321024 + 20011620699225 = 9005032^2 + 4473435^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101102222020249 is a prime.

It is not a weakly prime, because it can be changed into another prime (101102222020949) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551111010124 + 50551111010125.

It is an arithmetic number, because the mean of its divisors is an integer number (50551111010125).

Almost surely, 2^{101102222020249} is an apocalyptic number.

It is an amenable number.

101102222020249 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102222020249 is an equidigital number, since it uses as much as digits as its factorization.

101102222020249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 101102222020249 in words is "one hundred one trillion, one hundred two billion, two hundred twenty-two million, twenty thousand, two hundred forty-nine".