2001000122111 has 8 divisors (see below), whose sum is σ = 2018825841648. Its totient is φ = 1983253104000.

The previous prime is 2001000122087. The next prime is 2001000122137. The reversal of 2001000122111 is 1112210001002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2001000122111 is a prime.

It is a super-2 number, since 2×2001000122111² (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 = 2001000122092 and 2001000122101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001000122161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19624280 + ... + 19725981.

It is an arithmetic number, because the mean of its divisors is an integer number (252353230206).

Almost surely, 2^{2001000122111} is an apocalyptic number.

2001000122111 is a deficient number, since it is larger than the sum of its proper divisors (17825719537).

2001000122111 is a wasteful number, since it uses less digits than its factorization.

2001000122111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39350713.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2001000122111 its reverse (1112210001002), we get a palindrome (3113210123113).

The spelling of 2001000122111 in words is "two trillion, one billion, one hundred twenty-two thousand, one hundred eleven".