2111101211001 has 16 divisors (see below), whose sum is σ = 2832754406400. Its totient is φ = 1398443452560.

The previous prime is 2111101210997. The next prime is 2111101211041. The reversal of 2111101211001 is 1001121011112.

It is not a de Polignac number, because 2111101211001 - 2² = 2111101210997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2111101211041) 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, 1936095 + ... + 2823236.

It is an arithmetic number, because the mean of its divisors is an integer number (177047150400).

Almost surely, 2^{2111101211001} is an apocalyptic number.

It is an amenable number.

2111101211001 is a deficient number, since it is larger than the sum of its proper divisors (721653195399).

2111101211001 is a wasteful number, since it uses less digits than its factorization.

2111101211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4760276.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2111101211001 its reverse (1001121011112), we get a palindrome (3112222222113).

The spelling of 2111101211001 in words is "two trillion, one hundred eleven billion, one hundred one million, two hundred eleven thousand, one".