2001101001121 has 4 divisors (see below), whose sum is σ = 2018809859652. Its totient is φ = 1983392142592.

The previous prime is 2001101001103. The next prime is 2001101001143. The reversal of 2001101001121 is 1211001011002.

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 38636226721 + 1962464774400 = 196561^2 + 1400880^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001101001121 - 2²⁷ = 2000966783393 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2001101001098 and 2001101001107.

It is not an unprimeable number, because it can be changed into a prime (2001101001521) 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, 8854429096 + ... + 8854429321.

It is an arithmetic number, because the mean of its divisors is an integer number (504702464913).

Almost surely, 2^{2001101001121} is an apocalyptic number.

It is an amenable number.

2001101001121 is a deficient number, since it is larger than the sum of its proper divisors (17708858531).

2001101001121 is a wasteful number, since it uses less digits than its factorization.

2001101001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17708858530.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2001101001121 its reverse (1211001011002), we get a palindrome (3212102012123).

The spelling of 2001101001121 in words is "two trillion, one billion, one hundred one million, one thousand, one hundred twenty-one".