101294929 has 2 divisors, whose sum is σ = 101294930. Its totient is φ = 101294928.

The previous prime is 101294911. The next prime is 101294933. The reversal of 101294929 is 929492101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53684929 + 47610000 = 7327^2 + 6900^2 .

It is a cyclic number.

It is not a de Polignac number, because 101294929 - 2⁷ = 101294801 is a prime.

It is a super-2 number, since 2×101294929² = 20521325282230082, which contains 22 as substring.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is not a weakly prime, because it can be changed into another prime (101294939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50647464 + 50647465.

It is an arithmetic number, because the mean of its divisors is an integer number (50647465).

Almost surely, 2^101294929 is an apocalyptic number.

It is an amenable number.

101294929 is a deficient number, since it is larger than the sum of its proper divisors (1).

101294929 is an equidigital number, since it uses as much as digits as its factorization.

101294929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 37.

The square root of 101294929 is about 10064.5381910945. The cubic root of 101294929 is about 466.1538063646.

The spelling of 101294929 in words is "one hundred one million, two hundred ninety-four thousand, nine hundred twenty-nine".