2101112211101 has 4 divisors (see below), whose sum is σ = 2101265669052. Its totient is φ = 2100958753152.

The previous prime is 2101112211089. The next prime is 2101112211109. The reversal of 2101112211101 is 1011122111012.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1995989712025 + 105122499076 = 1412795^2 + 324226^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101112211101 - 2³⁸ = 1826234304157 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101112211109) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76708436 + ... + 76735821.

It is an arithmetic number, because the mean of its divisors is an integer number (525316417263).

Almost surely, 2^{2101112211101} is an apocalyptic number.

It is an amenable number.

2101112211101 is a deficient number, since it is larger than the sum of its proper divisors (153457951).

2101112211101 is a wasteful number, since it uses less digits than its factorization.

2101112211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153457950.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2101112211101 its reverse (1011122111012), we get a palindrome (3112234322113).

It can be divided in two parts, 2 and 101112211101, that multiplied together give a palindrome (202224422202).

The spelling of 2101112211101 in words is "two trillion, one hundred one billion, one hundred twelve million, two hundred eleven thousand, one hundred one".