2001121101001 has 16 divisors (see below), whose sum is σ = 2201753272320. Its totient is φ = 1803627438480.

The previous prime is 2001121100981. The next prime is 2001121101043. The reversal of 2001121101001 is 1001011211002.

It is a cyclic number.

It is not a de Polignac number, because 2001121101001 - 2⁷ = 2001121100873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2001121101401) 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, 1526490 + ... + 2516428.

It is an arithmetic number, because the mean of its divisors is an integer number (137609579520).

Almost surely, 2^{2001121101001} is an apocalyptic number.

It is an amenable number.

2001121101001 is a deficient number, since it is larger than the sum of its proper divisors (200632171319).

2001121101001 is a wasteful number, since it uses less digits than its factorization.

2001121101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991524.

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

Adding to 2001121101001 its reverse (1001011211002), we get a palindrome (3002132312003).

The spelling of 2001121101001 in words is "two trillion, one billion, one hundred twenty-one million, one hundred one thousand, one".