211112100200101 has 8 divisors (see below), whose sum is σ = 215684731279064. Its totient is φ = 206575332894720.

The previous prime is 211112100200039. The next prime is 211112100200137. The reversal of 211112100200101 is 101002001211112.

It is a happy number.

211112100200101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 24029613804001 + 187082486396100 = 4902001^2 + 13677810^2 .

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 211112100200101 - 2⁹ = 211112100199589 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 (211112100200171) 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, 8965931496 + ... + 8965955041.

It is an arithmetic number, because the mean of its divisors is an integer number (26960591409883).

Almost surely, 2^{211112100200101} is an apocalyptic number.

It is an amenable number.

211112100200101 is a deficient number, since it is larger than the sum of its proper divisors (4572631078963).

211112100200101 is a wasteful number, since it uses less digits than its factorization.

211112100200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17931886791.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 211112100200101 its reverse (101002001211112), we get a palindrome (312114101411213).

The spelling of 211112100200101 in words is "two hundred eleven trillion, one hundred twelve billion, one hundred million, two hundred thousand, one hundred one".