101121919 has 2 divisors, whose sum is σ = 101121920. Its totient is φ = 101121918.

The previous prime is 101121901. The next prime is 101121959. The reversal of 101121919 is 919121101.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101121919 is a prime.

It is a super-2 number, since 2×101121919² = 20451285004485122, which contains 22 as substring.

It is equal to p_5822332 and since 101121919 and 5822332 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 101121893 and 101121902.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101121959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560959 + 50560960.

It is an arithmetic number, because the mean of its divisors is an integer number (50560960).

Almost surely, 2^101121919 is an apocalyptic number.

101121919 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121919 is an equidigital number, since it uses as much as digits as its factorization.

101121919 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 25.

The square root of 101121919 is about 10055.9394886803. The cubic root of 101121919 is about 465.8882608915. Note that the first 3 decimals are identical.

The spelling of 101121919 in words is "one hundred one million, one hundred twenty-one thousand, nine hundred nineteen".