101805121 has 8 divisors (see below), whose sum is σ = 111135744. Its totient is φ = 92487120.

The previous prime is 101805113. The next prime is 101805139. The reversal of 101805121 is 121508101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101805121 - 2³ = 101805113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101805181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23680 + ... + 27646.

It is an arithmetic number, because the mean of its divisors is an integer number (13891968).

Almost surely, 2^101805121 is an apocalyptic number.

101805121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101805121 is a deficient number, since it is larger than the sum of its proper divisors (9330623).

101805121 is a wasteful number, since it uses less digits than its factorization.

101805121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6311.

The product of its (nonzero) digits is 80, while the sum is 19.

The square root of 101805121 is about 10089.8523775128. The cubic root of 101805121 is about 466.9351214461.

It can be divided in two parts, 101805 and 121, that added together give a triangular number (101926 = T₄₅₁).

The spelling of 101805121 in words is "one hundred one million, eight hundred five thousand, one hundred twenty-one".