2001110111002 has 32 divisors (see below), whose sum is σ = 3066391062144. Its totient is φ = 979199020800.

The previous prime is 2001110110969. The next prime is 2001110111009.

2001110111002 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2001110111002² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2001110111002.

It is not an unprimeable number, because it can be changed into a prime (2001110111009) 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, 46202977 + ... + 46246267.

It is an arithmetic number, because the mean of its divisors is an integer number (95824720692).

Almost surely, 2^{2001110111002} is an apocalyptic number.

2001110111002 is a deficient number, since it is larger than the sum of its proper divisors (1065280951142).

2001110111002 is a wasteful number, since it uses less digits than its factorization.

2001110111002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45814.

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

It can be divided in two parts, 2001110 and 111002, that added together give a palindrome (2112112).

The spelling of 2001110111002 in words is "two trillion, one billion, one hundred ten million, one hundred eleven thousand, two".