201101222122101 has 24 divisors (see below), whose sum is σ = 331979203383360. Its totient is φ = 114914090045376.

The previous prime is 201101222122037. The next prime is 201101222122147. The reversal of 201101222122101 is 101221222101102.

201101222122101 is a `hidden beast` number, since 201 + 10 + 12 + 221 + 221 + 0 + 1 = 666.

It is not a de Polignac number, because 201101222122101 - 2⁶ = 201101222122037 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201101222142101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4212235 + ... + 20492568.

It is an arithmetic number, because the mean of its divisors is an integer number (13832466807640).

Almost surely, 2^{201101222122101} is an apocalyptic number.

201101222122101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201101222122101 is a deficient number, since it is larger than the sum of its proper divisors (130877981261259).

201101222122101 is a wasteful number, since it uses less digits than its factorization.

201101222122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24834025 (or 24834022 counting only the distinct ones).

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

Adding to 201101222122101 its reverse (101221222101102), we get a palindrome (302322444223203).

The spelling of 201101222122101 in words is "two hundred one trillion, one hundred one billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred one".