211112222002101 has 40 divisors (see below), whose sum is σ = 360418932040640. Its totient is φ = 120635022036672.

The previous prime is 211112222002037. The next prime is 211112222002189. The reversal of 211112222002101 is 101200222211112.

211112222002101 is a `hidden beast` number, since 2 + 111 + 122 + 220 + 0 + 210 + 1 = 666.

It is not a de Polignac number, because 211112222002101 - 2⁶ = 211112222002037 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 (211112222022101) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 152780385 + ... + 154155993.

It is an arithmetic number, because the mean of its divisors is an integer number (9010473301016).

Almost surely, 2^{211112222002101} is an apocalyptic number.

211112222002101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211112222002101 is a deficient number, since it is larger than the sum of its proper divisors (149306710038539).

211112222002101 is a wasteful number, since it uses less digits than its factorization.

211112222002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646295 (or 1646286 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211112222002101 its reverse (101200222211112), we get a palindrome (312312444213213).

The spelling of 211112222002101 in words is "two hundred eleven trillion, one hundred twelve billion, two hundred twenty-two million, two thousand, one hundred one".