2101110111001 has 16 divisors (see below), whose sum is σ = 2355778160640. Its totient is φ = 1857773483280.

The previous prime is 2101110110971. The next prime is 2101110111013. The reversal of 2101110111001 is 1001110111012.

It is not a de Polignac number, because 2101110111001 - 2⁷ = 2101110110873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101110111041) 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, 17985421 + ... + 18101866.

It is an arithmetic number, because the mean of its divisors is an integer number (147236135040).

Almost surely, 2^{2101110111001} is an apocalyptic number.

It is an amenable number.

2101110111001 is a deficient number, since it is larger than the sum of its proper divisors (254668049639).

2101110111001 is a wasteful number, since it uses less digits than its factorization.

2101110111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36087444.

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

Adding to 2101110111001 its reverse (1001110111012), we get a palindrome (3102220222013).

The spelling of 2101110111001 in words is "two trillion, one hundred one billion, one hundred ten million, one hundred eleven thousand, one".