112101222101211 has 96 divisors (see below), whose sum is σ = 187508329162752. Its totient is φ = 63213481900800.

The previous prime is 112101222101203. The next prime is 112101222101213.

It is a happy number.

112101222101211 is a `hidden beast` number, since 1 + 1 + 210 + 122 + 210 + 121 + 1 = 666.

112101222101211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112101222101211 - 2³ = 112101222101203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112101222101213) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2601357381 + ... + 2601400473.

It is an arithmetic number, because the mean of its divisors is an integer number (1953211762112).

Almost surely, 2^{112101222101211} is an apocalyptic number.

112101222101211 is a deficient number, since it is larger than the sum of its proper divisors (75407107061541).

112101222101211 is a wasteful number, since it uses less digits than its factorization.

112101222101211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44553 (or 44550 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

The spelling of 112101222101211 in words is "one hundred twelve trillion, one hundred one billion, two hundred twenty-two million, one hundred one thousand, two hundred eleven".