101416601 has 16 divisors (see below), whose sum is σ = 119632128. Its totient is φ = 84758400.

The previous prime is 101416597. The next prime is 101416619. The reversal of 101416601 is 106614101.

It is a cyclic number.

It is not a de Polignac number, because 101416601 - 2² = 101416597 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101416681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37445 + ... + 40061.

It is an arithmetic number, because the mean of its divisors is an integer number (7477008).

Almost surely, 2^101416601 is an apocalyptic number.

101416601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101416601 is a deficient number, since it is larger than the sum of its proper divisors (18215527).

101416601 is a wasteful number, since it uses less digits than its factorization.

101416601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 101416601 is about 10070.5809663594. The cubic root of 101416601 is about 466.3403743479.

The spelling of 101416601 in words is "one hundred one million, four hundred sixteen thousand, six hundred one".