2101101000111 has 6 divisors (see below), whose sum is σ = 3034923666840. Its totient is φ = 1400734000068.

The previous prime is 2101101000083. The next prime is 2101101000121. The reversal of 2101101000111 is 1110001011012.

It is not a de Polignac number, because 2101101000111 - 2⁵ = 2101101000079 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 233455666679 = 2101101000111 / (2 + 1 + 0 + 1 + 1 + 0 + 1 + 0 + 0 + 0 + 1 + 1 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 2101101000093 and 2101101000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101101000121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 116727833331 + ... + 116727833348.

It is an arithmetic number, because the mean of its divisors is an integer number (505820611140).

Almost surely, 2^{2101101000111} is an apocalyptic number.

2101101000111 is a deficient number, since it is larger than the sum of its proper divisors (933822666729).

2101101000111 is a wasteful number, since it uses less digits than its factorization.

2101101000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233455666685 (or 233455666682 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 2101101000111 its reverse (1110001011012), we get a palindrome (3211102011123).

The spelling of 2101101000111 in words is "two trillion, one hundred one billion, one hundred one million, one hundred eleven", and thus it is an aban number.