101419993 has 2 divisors, whose sum is σ = 101419994. Its totient is φ = 101419992.

The previous prime is 101419991. The next prime is 101420017. The reversal of 101419993 is 399914101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75481344 + 25938649 = 8688^2 + 5093^2 .

It is a cyclic number.

It is not a de Polignac number, because 101419993 - 2¹ = 101419991 is a prime.

Together with 101419991, it forms a pair of twin primes.

It is equal to p_5838508 and since 101419993 and 5838508 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (101419991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50709996 + 50709997.

It is an arithmetic number, because the mean of its divisors is an integer number (50709997).

Almost surely, 2^101419993 is an apocalyptic number.

It is an amenable number.

101419993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101419993 is an equidigital number, since it uses as much as digits as its factorization.

101419993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8748, while the sum is 37.

The square root of 101419993 is about 10070.7493762877. The cubic root of 101419993 is about 466.3455733946.

The spelling of 101419993 in words is "one hundred one million, four hundred nineteen thousand, nine hundred ninety-three".