101110121101001 has 4 divisors (see below), whose sum is σ = 101110154708100. Its totient is φ = 101110087493904.

The previous prime is 101110121100913. The next prime is 101110121101013. The reversal of 101110121101001 is 100101121011101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 34678672099600 + 66431449001401 = 5888860^2 + 8150549^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110121101001 - 2²² = 101110116906697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101110121101051) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11792546 + ... + 18473883.

It is an arithmetic number, because the mean of its divisors is an integer number (25277538677025).

Almost surely, 2^{101110121101001} is an apocalyptic number.

It is an amenable number.

101110121101001 is a deficient number, since it is larger than the sum of its proper divisors (33607099).

101110121101001 is an equidigital number, since it uses as much as digits as its factorization.

101110121101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33607098.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101110121101001 its reverse (100101121011101), we get a palindrome (201211242112102).

The spelling of 101110121101001 in words is "one hundred one trillion, one hundred ten billion, one hundred twenty-one million, one hundred one thousand, one".