2101100111201 has 32 divisors (see below), whose sum is σ = 2722248130560. Its totient is φ = 1574812362816.

The previous prime is 2101100111189. The next prime is 2101100111203. The reversal of 2101100111201 is 1021110011012.

It is not a de Polignac number, because 2101100111201 - 2²⁶ = 2101033002337 is a prime.

It is a super-3 number, since 3×2101100111201³ (a number of 38 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2101100111203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36984320 + ... + 37041086.

It is an arithmetic number, because the mean of its divisors is an integer number (85070254080).

Almost surely, 2^{2101100111201} is an apocalyptic number.

It is an amenable number.

2101100111201 is a deficient number, since it is larger than the sum of its proper divisors (621148019359).

2101100111201 is a wasteful number, since it uses less digits than its factorization.

2101100111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78213.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2101100111201 its reverse (1021110011012), we get a palindrome (3122210122213).

The spelling of 2101100111201 in words is "two trillion, one hundred one billion, one hundred million, one hundred eleven thousand, two hundred one".