2001121210111 has 12 divisors (see below), whose sum is σ = 2074384776672. Its totient is φ = 1930364442944.

The previous prime is 2001121210063. The next prime is 2001121210117. The reversal of 2001121210111 is 1110121211002.

It is a happy number.

It is not a de Polignac number, because 2001121210111 - 2¹⁵ = 2001121177343 is a prime.

It is a super-2 number, since 2×2001121210111² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2001121210091 and 2001121210100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001121210117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151006 + ... + 2006251.

It is an arithmetic number, because the mean of its divisors is an integer number (172865398056).

Almost surely, 2^{2001121210111} is an apocalyptic number.

2001121210111 is a deficient number, since it is larger than the sum of its proper divisors (73263566561).

2001121210111 is a wasteful number, since it uses less digits than its factorization.

2001121210111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158418 (or 2158389 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2001121210111 its reverse (1110121211002), we get a palindrome (3111242421113).

The spelling of 2001121210111 in words is "two trillion, one billion, one hundred twenty-one million, two hundred ten thousand, one hundred eleven".