101201122212111 has 24 divisors (see below), whose sum is σ = 153873500027520. Its totient is φ = 63916311851856.

The previous prime is 101201122212101. The next prime is 101201122212217. The reversal of 101201122212111 is 111212221102101.

It is a happy number.

101201122212111 is a `hidden beast` number, since 1 + 0 + 120 + 112 + 221 + 211 + 1 = 666.

It is not a de Polignac number, because 101201122212111 - 2²¹ = 101201120114959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201122212101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80089726 + ... + 81343508.

It is an arithmetic number, because the mean of its divisors is an integer number (6411395834480).

Almost surely, 2^{101201122212111} is an apocalyptic number.

101201122212111 is a deficient number, since it is larger than the sum of its proper divisors (52672377815409).

101201122212111 is a wasteful number, since it uses less digits than its factorization.

101201122212111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725835 (or 1725832 counting only the distinct ones).

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

Adding to 101201122212111 its reverse (111212221102101), we get a palindrome (212413343314212).

The spelling of 101201122212111 in words is "one hundred one trillion, two hundred one billion, one hundred twenty-two million, two hundred twelve thousand, one hundred eleven".