101261601 has 12 divisors (see below), whose sum is σ = 167162112. Its totient is φ = 57863736.

The previous prime is 101261597. The next prime is 101261651. The reversal of 101261601 is 106162101.

101261601 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 61 + 601 = 666.

It is not a de Polignac number, because 101261601 - 2² = 101261597 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101261651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 803601 + ... + 803726.

It is an arithmetic number, because the mean of its divisors is an integer number (13930176).

Almost surely, 2^101261601 is an apocalyptic number.

It is an amenable number.

101261601 is a deficient number, since it is larger than the sum of its proper divisors (65900511).

101261601 is a wasteful number, since it uses less digits than its factorization.

101261601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607340 (or 1607337 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 101261601 is about 10062.8823405623. The cubic root of 101261601 is about 466.1026762030.

The spelling of 101261601 in words is "one hundred one million, two hundred sixty-one thousand, six hundred one".