101006993 has 2 divisors, whose sum is σ = 101006994. Its totient is φ = 101006992.

The previous prime is 101006987. The next prime is 101006999. The reversal of 101006993 is 399600101.

It is a balanced prime because it is at equal distance from previous prime (101006987) and next prime (101006999).

It can be written as a sum of positive squares in only one way, i.e., 98644624 + 2362369 = 9932^2 + 1537^2 .

It is an emirp because it is prime and its reverse (399600101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101006993 - 2⁴ = 101006977 is a prime.

101006993 is a modest number, since divided by 6993 gives 101 as remainder.

It is not a weakly prime, because it can be changed into another prime (101006999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50503496 + 50503497.

It is an arithmetic number, because the mean of its divisors is an integer number (50503497).

Almost surely, 2^101006993 is an apocalyptic number.

It is an amenable number.

101006993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101006993 is an equidigital number, since it uses as much as digits as its factorization.

101006993 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 101006993 is about 10050.2235298525. The cubic root of 101006993 is about 465.7116985414.

The spelling of 101006993 in words is "one hundred one million, six thousand, nine hundred ninety-three".