101123993 has 2 divisors, whose sum is σ = 101123994. Its totient is φ = 101123992.

The previous prime is 101123989. The next prime is 101124017. The reversal of 101123993 is 399321101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100861849 + 262144 = 10043^2 + 512^2 .

It is a cyclic number.

It is not a de Polignac number, because 101123993 - 2² = 101123989 is a prime.

It is not a weakly prime, because it can be changed into another prime (101123903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561996 + 50561997.

It is an arithmetic number, because the mean of its divisors is an integer number (50561997).

Almost surely, 2^101123993 is an apocalyptic number.

It is an amenable number.

101123993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101123993 is an equidigital number, since it uses as much as digits as its factorization.

101123993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 29.

The square root of 101123993 is about 10056.0426112860. The cubic root of 101123993 is about 465.8914459763.

The spelling of 101123993 in words is "one hundred one million, one hundred twenty-three thousand, nine hundred ninety-three".