101921117 has 2 divisors, whose sum is σ = 101921118. Its totient is φ = 101921116.

The previous prime is 101921093. The next prime is 101921123. The reversal of 101921117 is 711129101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61293241 + 40627876 = 7829^2 + 6374^2 .

It is an emirp because it is prime and its reverse (711129101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101921117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101921092 and 101921101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101921147) 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, 50960558 + 50960559.

It is an arithmetic number, because the mean of its divisors is an integer number (50960559).

Almost surely, 2^101921117 is an apocalyptic number.

It is an amenable number.

101921117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101921117 is an equidigital number, since it uses as much as digits as its factorization.

101921117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 23.

The square root of 101921117 is about 10095.5988925868. The cubic root of 101921117 is about 467.1123949401.

The spelling of 101921117 in words is "one hundred one million, nine hundred twenty-one thousand, one hundred seventeen".