2111010111001 has 16 divisors (see below), whose sum is σ = 2439156144960. Its totient is φ = 1805641390080.

The previous prime is 2111010110959. The next prime is 2111010111013. The reversal of 2111010111001 is 1001110101112.

It is not a de Polignac number, because 2111010111001 - 2¹⁷ = 2111009979929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2111010111701) 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, 1188531 + ... + 2373736.

It is an arithmetic number, because the mean of its divisors is an integer number (152447259060).

Almost surely, 2^{2111010111001} is an apocalyptic number.

It is an amenable number.

2111010111001 is a deficient number, since it is larger than the sum of its proper divisors (328146033959).

2111010111001 is a wasteful number, since it uses less digits than its factorization.

2111010111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565464.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 2111010111001 its reverse (1001110101112), we get a palindrome (3112120212113).

The spelling of 2111010111001 in words is "two trillion, one hundred eleven billion, ten million, one hundred eleven thousand, one".