101101001121101 has 16 divisors (see below), whose sum is σ = 106360845327360. Its totient is φ = 95967996405120.

The previous prime is 101101001121077. The next prime is 101101001121259. The reversal of 101101001121101 is 101121100101101.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101101001121101 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 (101101004121101) 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, 76120925 + ... + 77437698.

It is an arithmetic number, because the mean of its divisors is an integer number (6647552832960).

Almost surely, 2^{101101001121101} is an apocalyptic number.

It is an amenable number.

101101001121101 is a deficient number, since it is larger than the sum of its proper divisors (5259844206259).

101101001121101 is a wasteful number, since it uses less digits than its factorization.

101101001121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153559036.

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

Adding to 101101001121101 its reverse (101121100101101), we get a palindrome (202222101222202).

The spelling of 101101001121101 in words is "one hundred one trillion, one hundred one billion, one million, one hundred twenty-one thousand, one hundred one".