101101921 has 2 divisors, whose sum is σ = 101101922. Its totient is φ = 101101920.

The previous prime is 101101849. The next prime is 101101927. The reversal of 101101921 is 129101101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82083600 + 19018321 = 9060^2 + 4361^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101101921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101101895 and 101101904.

It is not a weakly prime, because it can be changed into another prime (101101927) 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, 50550960 + 50550961.

It is an arithmetic number, because the mean of its divisors is an integer number (50550961).

Almost surely, 2^101101921 is an apocalyptic number.

It is an amenable number.

101101921 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101921 is an equidigital number, since it uses as much as digits as its factorization.

101101921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 16.

The square root of 101101921 is about 10054.9451017895. The cubic root of 101101921 is about 465.8575473141.

The spelling of 101101921 in words is "one hundred one million, one hundred one thousand, nine hundred twenty-one".