2001100121001 has 12 divisors (see below), whose sum is σ = 3016150907328. Its totient is φ = 1276063845144.

The previous prime is 2001100120997. The next prime is 2001100121003. The reversal of 2001100121001 is 1001210011002.

It is a happy number.

It is not a de Polignac number, because 2001100121001 - 2² = 2001100120997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2001100121003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4833574965 + ... + 4833575378.

It is an arithmetic number, because the mean of its divisors is an integer number (251345908944).

Almost surely, 2^{2001100121001} is an apocalyptic number.

It is an amenable number.

2001100121001 is a deficient number, since it is larger than the sum of its proper divisors (1015050786327).

2001100121001 is a wasteful number, since it uses less digits than its factorization.

2001100121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9667150372 (or 9667150369 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2001100121001 its reverse (1001210011002), we get a palindrome (3002310132003).

The spelling of 2001100121001 in words is "two trillion, one billion, one hundred million, one hundred twenty-one thousand, one".