2111001120001 has 32 divisors (see below), whose sum is σ = 2235367895040. Its totient is φ = 1990615689216.

The previous prime is 2111001119989. The next prime is 2111001120047. The reversal of 2111001120001 is 1000211001112.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2111001120001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2111001120001.

It is not an unprimeable number, because it can be changed into a prime (2111001120061) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 714865141 + ... + 714868093.

It is an arithmetic number, because the mean of its divisors is an integer number (69855246720).

Almost surely, 2^{2111001120001} is an apocalyptic number.

It is an amenable number.

2111001120001 is a deficient number, since it is larger than the sum of its proper divisors (124366775039).

2111001120001 is a wasteful number, since it uses less digits than its factorization.

2111001120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6073.

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

Adding to 2111001120001 its reverse (1000211001112), we get a palindrome (3111212121113).

The spelling of 2111001120001 in words is "two trillion, one hundred eleven billion, one million, one hundred twenty thousand, one".