101021010112249 has 2 divisors, whose sum is σ = 101021010112250. Its totient is φ = 101021010112248.

The previous prime is 101021010112181. The next prime is 101021010112259. The reversal of 101021010112249 is 942211010120101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100293114476025 + 727895636224 = 10014645^2 + 853168^2 .

It is a cyclic number.

It is not a de Polignac number, because 101021010112249 - 2⁹ = 101021010111737 is a prime.

It is a super-2 number, since 2×101021010112249² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101021010112259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510505056124 + 50510505056125.

It is an arithmetic number, because the mean of its divisors is an integer number (50510505056125).

Almost surely, 2^{101021010112249} is an apocalyptic number.

It is an amenable number.

101021010112249 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021010112249 is an equidigital number, since it uses as much as digits as its factorization.

101021010112249 is an evil number, because the sum of its binary digits is even.

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

The spelling of 101021010112249 in words is "one hundred one trillion, twenty-one billion, ten million, one hundred twelve thousand, two hundred forty-nine".