2101201112011 has 16 divisors (see below), whose sum is σ = 2177848987200. Its totient is φ = 2024836507008.

The previous prime is 2101201111981. The next prime is 2101201112077. The reversal of 2101201112011 is 1102111021012.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2101201112011 - 2²³ = 2101192723403 is a prime.

It is a super-2 number, since 2×2101201112011² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2101201111982 and 2101201112000.

It is not an unprimeable number, because it can be changed into a prime (2101201112111) 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, 32295165 + ... + 32360161.

It is an arithmetic number, because the mean of its divisors is an integer number (136115561700).

Almost surely, 2^{2101201112011} is an apocalyptic number.

2101201112011 is a deficient number, since it is larger than the sum of its proper divisors (76647875189).

2101201112011 is a wasteful number, since it uses less digits than its factorization.

2101201112011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67158.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2101201112011 its reverse (1102111021012), we get a palindrome (3203312133023).

Subtracting from 2101201112011 its reverse (1102111021012), we obtain a palindrome (999090090999).

The spelling of 2101201112011 in words is "two trillion, one hundred one billion, two hundred one million, one hundred twelve thousand, eleven".