211111000101 has 48 divisors (see below), whose sum is σ = 314556793200. Its totient is φ = 136371096576.

The previous prime is 211111000097. The next prime is 211111000117. The reversal of 211111000101 is 101000111112.

It can be written as a sum of positive squares in 8 ways, for example, as 1095941025 + 210015059076 = 33105^2 + 458274^2 .

It is not a de Polignac number, because 211111000101 - 2² = 211111000097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211111000171) 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, 43002435 + ... + 43007343.

It is an arithmetic number, because the mean of its divisors is an integer number (6553266525).

Almost surely, 2^211111000101 is an apocalyptic number.

It is an amenable number.

211111000101 is a deficient number, since it is larger than the sum of its proper divisors (103445793099).

211111000101 is a wasteful number, since it uses less digits than its factorization.

211111000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6070 (or 6067 counting only the distinct ones).

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

Adding to 211111000101 its reverse (101000111112), we get a palindrome (312111111213).

The spelling of 211111000101 in words is "two hundred eleven billion, one hundred eleven million, one hundred one", and thus it is an aban number.