211111201112101 has 32 divisors (see below), whose sum is σ = 219689449056000. Its totient is φ = 202723836480000.

The previous prime is 211111201112089. The next prime is 211111201112137. The reversal of 211111201112101 is 101211102111112.

It is a cyclic number.

It is not a de Polignac number, because 211111201112101 - 2²³ = 211111192723493 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 (211111201118101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478143520 + ... + 478584838.

It is an arithmetic number, because the mean of its divisors is an integer number (6865295283000).

Almost surely, 2^{211111201112101} is an apocalyptic number.

It is an amenable number.

211111201112101 is a deficient number, since it is larger than the sum of its proper divisors (8578247943899).

211111201112101 is a wasteful number, since it uses less digits than its factorization.

211111201112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442141.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 211111201112101 its reverse (101211102111112), we get a palindrome (312322303223213).

The spelling of 211111201112101 in words is "two hundred eleven trillion, one hundred eleven billion, two hundred one million, one hundred twelve thousand, one hundred one".