2111110110101 has 8 divisors (see below), whose sum is σ = 2235475350360. Its totient is φ = 1986765124608.

The previous prime is 2111110110091. The next prime is 2111110110119. The reversal of 2111110110101 is 1010110111112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 471967626001 + 1639142484100 = 686999^2 + 1280290^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2111110110101 - 2³⁴ = 2093930240917 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 (2111110110181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4848836 + ... + 5266253.

It is an arithmetic number, because the mean of its divisors is an integer number (279434418795).

Almost surely, 2^{2111110110101} is an apocalyptic number.

It is an amenable number.

2111110110101 is a deficient number, since it is larger than the sum of its proper divisors (124365240259).

2111110110101 is a wasteful number, since it uses less digits than its factorization.

2111110110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10127383.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 2111110110101 its reverse (1010110111112), we get a palindrome (3121220221213).

The spelling of 2111110110101 in words is "two trillion, one hundred eleven billion, one hundred ten million, one hundred ten thousand, one hundred one".