101152601 has 24 divisors (see below), whose sum is σ = 119892096. Its totient is φ = 84581120.

The previous prime is 101152589. The next prime is 101152621. The reversal of 101152601 is 106251101.

It is not a de Polignac number, because 101152601 - 2⁶ = 101152537 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101152601.

It is not an unprimeable number, because it can be changed into a prime (101152621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149075 + ... + 149751.

It is an arithmetic number, because the mean of its divisors is an integer number (4995504).

Almost surely, 2^101152601 is an apocalyptic number.

101152601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101152601 is a deficient number, since it is larger than the sum of its proper divisors (18739495).

101152601 is a wasteful number, since it uses less digits than its factorization.

101152601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 17.

The square root of 101152601 is about 10057.4649390391. The cubic root of 101152601 is about 465.9353754317.

The spelling of 101152601 in words is "one hundred one million, one hundred fifty-two thousand, six hundred one".