211111111101001 has 8 divisors (see below), whose sum is σ = 222222833710400. Its totient is φ = 199999449641520.

The previous prime is 211111111100921. The next prime is 211111111101053. The reversal of 211111111101001 is 100101111111112.

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 211111111101001 - 2⁹ = 211111111100489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211111111101301) 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, 8114766 + ... + 22092343.

It is an arithmetic number, because the mean of its divisors is an integer number (27777854213800).

Almost surely, 2^{211111111101001} is an apocalyptic number.

It is an amenable number.

211111111101001 is a deficient number, since it is larger than the sum of its proper divisors (11111722609399).

211111111101001 is a wasteful number, since it uses less digits than its factorization.

211111111101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30574959.

The product of its (nonzero) digits is 2, while the sum is 13.

Adding to 211111111101001 its reverse (100101111111112), we get a palindrome (311212222212113).

It can be divided in two parts, 211111111 and 101001, that added together give a palindrome (211212112).

The spelling of 211111111101001 in words is "two hundred eleven trillion, one hundred eleven billion, one hundred eleven million, one hundred one thousand, one".