2001100110002 has 64 divisors (see below), whose sum is σ = 3507103401984. Its totient is φ = 838668349440.

The previous prime is 2001100109993. The next prime is 2001100110017. The reversal of 2001100110002 is 2000110011002.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 120823802 + ... + 120840362.

It is an arithmetic number, because the mean of its divisors is an integer number (54798490656).

Almost surely, 2^{2001100110002} is an apocalyptic number.

2001100110002 is a deficient number, since it is larger than the sum of its proper divisors (1506003291982).

2001100110002 is a wasteful number, since it uses less digits than its factorization.

2001100110002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17643.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2001100110002 its reverse (2000110011002), we get a palindrome (4001210121004).

It can be divided in two parts, 200110011000 and 2, that added together give a palindrome (200110011002).

The spelling of 2001100110002 in words is "two trillion, one billion, one hundred million, one hundred ten thousand, two".