101992181 has 2 divisors, whose sum is σ = 101992182. Its totient is φ = 101992180.

The previous prime is 101992151. The next prime is 101992199. The reversal of 101992181 is 181299101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100681156 + 1311025 = 10034^2 + 1145^2 .

It is a cyclic number.

It is not a de Polignac number, because 101992181 - 2²² = 97797877 is a prime.

It is a super-2 number, since 2×101992181² = 20804809970273522, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101992141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50996090 + 50996091.

It is an arithmetic number, because the mean of its divisors is an integer number (50996091).

Almost surely, 2^101992181 is an apocalyptic number.

It is an amenable number.

101992181 is a deficient number, since it is larger than the sum of its proper divisors (1).

101992181 is an equidigital number, since it uses as much as digits as its factorization.

101992181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 32.

The square root of 101992181 is about 10099.1178327614. The cubic root of 101992181 is about 467.2209336617.

The spelling of 101992181 in words is "one hundred one million, nine hundred ninety-two thousand, one hundred eighty-one".