212011221100101 has 64 divisors (see below), whose sum is σ = 293203512999936. Its totient is φ = 136185756062400.

The previous prime is 212011221100067. The next prime is 212011221100103. The reversal of 212011221100101 is 101001122110212.

It is a happy number.

It is not a de Polignac number, because 212011221100101 - 2⁶ = 212011221100037 is a prime.

It is a super-2 number, since 2×212011221100101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212011221100103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23320996566 + ... + 23321005656.

It is an arithmetic number, because the mean of its divisors is an integer number (4581304890624).

Almost surely, 2^{212011221100101} is an apocalyptic number.

It is an amenable number.

212011221100101 is a deficient number, since it is larger than the sum of its proper divisors (81192291899835).

212011221100101 is a wasteful number, since it uses less digits than its factorization.

212011221100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16022.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212011221100101 its reverse (101001122110212), we get a palindrome (313012343210313).

The spelling of 212011221100101 in words is "two hundred twelve trillion, eleven billion, two hundred twenty-one million, one hundred thousand, one hundred one".