101121101 has 8 divisors (see below), whose sum is σ = 105310464. Its totient is φ = 96989760.

The previous prime is 101121089. The next prime is 101121107.

It is a happy number.

101121101 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is not a de Polignac number, because 101121101 - 2¹⁸ = 100858957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121107) 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, 10931 + ... + 17936.

It is an arithmetic number, because the mean of its divisors is an integer number (13163808).

Almost surely, 2^101121101 is an apocalyptic number.

It is an amenable number.

101121101 is a deficient number, since it is larger than the sum of its proper divisors (4189363).

101121101 is a wasteful number, since it uses less digits than its factorization.

101121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29011.

The product of its (nonzero) digits is 2, while the sum is 8.

The square root of 101121101 is about 10055.8988161178. The cubic root of 101121101 is about 465.8870046600.

The spelling of 101121101 in words is "one hundred one million, one hundred twenty-one thousand, one hundred one".