101337601 has 2 divisors, whose sum is σ = 101337602. Its totient is φ = 101337600.

The previous prime is 101337557. The next prime is 101337617. The reversal of 101337601 is 106733101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75082225 + 26255376 = 8665^2 + 5124^2 .

It is an emirp because it is prime and its reverse (106733101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101337601 - 2⁷ = 101337473 is a prime.

It is not a weakly prime, because it can be changed into another prime (101337631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50668800 + 50668801.

It is an arithmetic number, because the mean of its divisors is an integer number (50668801).

Almost surely, 2^101337601 is an apocalyptic number.

It is an amenable number.

101337601 is a deficient number, since it is larger than the sum of its proper divisors (1).

101337601 is an equidigital number, since it uses as much as digits as its factorization.

101337601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 101337601 is about 10066.6578863096. The cubic root of 101337601 is about 466.2192552567.

The spelling of 101337601 in words is "one hundred one million, three hundred thirty-seven thousand, six hundred one".