2001120111122 has 32 divisors (see below), whose sum is σ = 3317277300480. Its totient is φ = 897742984320.

The previous prime is 2001120111041. The next prime is 2001120111143. The reversal of 2001120111122 is 2211110211002.

It is a junction number, because it is equal to n+sod(n) for n = 2001120111097 and 2001120111106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4357508 + ... + 4794800.

It is an arithmetic number, because the mean of its divisors is an integer number (103664915640).

Almost surely, 2^{2001120111122} is an apocalyptic number.

2001120111122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2001120111122 is a deficient number, since it is larger than the sum of its proper divisors (1316157189358).

2001120111122 is a wasteful number, since it uses less digits than its factorization.

2001120111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440018.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2001120111122 its reverse (2211110211002), we get a palindrome (4212230322124).

The spelling of 2001120111122 in words is "two trillion, one billion, one hundred twenty million, one hundred eleven thousand, one hundred twenty-two".