101101993 has 2 divisors, whose sum is σ = 101101994. Its totient is φ = 101101992.

The previous prime is 101101991. The next prime is 101101999. The reversal of 101101993 is 399101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51652969 + 49449024 = 7187^2 + 7032^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101993 - 2¹ = 101101991 is a prime.

It is a super-2 number, since 2×101101993² = 20443225977144098, which contains 22 as substring.

Together with 101101991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101101991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550996 + 50550997.

It is an arithmetic number, because the mean of its divisors is an integer number (50550997).

Almost surely, 2^101101993 is an apocalyptic number.

It is an amenable number.

101101993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101993 is an equidigital number, since it uses as much as digits as its factorization.

101101993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 25.

The square root of 101101993 is about 10054.9486821167. The cubic root of 101101993 is about 465.8576579013.

The spelling of 101101993 in words is "one hundred one million, one hundred one thousand, nine hundred ninety-three".