2111102101101 has 48 divisors (see below), whose sum is σ = 3307558553280. Its totient is φ = 1194119539200.

The previous prime is 2111102101099. The next prime is 2111102101117. The reversal of 2111102101101 is 1011012011112.

It is not a de Polignac number, because 2111102101101 - 2¹ = 2111102101099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111102101001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74354430 + ... + 74382816.

It is an arithmetic number, because the mean of its divisors is an integer number (68907469860).

Almost surely, 2^{2111102101101} is an apocalyptic number.

2111102101101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2111102101101 is a deficient number, since it is larger than the sum of its proper divisors (1196456452179).

2111102101101 is a wasteful number, since it uses less digits than its factorization.

2111102101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33514 (or 33507 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 2111102101101 its reverse (1011012011112), we get a palindrome (3122114112213).

The spelling of 2111102101101 in words is "two trillion, one hundred eleven billion, one hundred two million, one hundred one thousand, one hundred one".