101601457 has 2 divisors, whose sum is σ = 101601458. Its totient is φ = 101601456.

The previous prime is 101601449. The next prime is 101601463. The reversal of 101601457 is 754106101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73256481 + 28344976 = 8559^2 + 5324^2 .

It is a cyclic number.

It is not a de Polignac number, because 101601457 - 2³ = 101601449 is a prime.

It is not a weakly prime, because it can be changed into another prime (101601427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50800728 + 50800729.

It is an arithmetic number, because the mean of its divisors is an integer number (50800729).

Almost surely, 2^101601457 is an apocalyptic number.

It is an amenable number.

101601457 is a deficient number, since it is larger than the sum of its proper divisors (1).

101601457 is an equidigital number, since it uses as much as digits as its factorization.

101601457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 101601457 is about 10079.7548085259. The cubic root of 101601457 is about 466.6235413096.

Adding to 101601457 its reverse (754106101), we get a palindrome (855707558).

The spelling of 101601457 in words is "one hundred one million, six hundred one thousand, four hundred fifty-seven".