201101211200021 has 16 divisors (see below), whose sum is σ = 222351165711360. Its totient is φ = 180349907403120.

The previous prime is 201101211200009. The next prime is 201101211200083. The reversal of 201101211200021 is 120002112101102.

It is a cyclic number.

It is not a de Polignac number, because 201101211200021 - 2⁶ = 201101211199957 is a prime.

It is a super-2 number, since 2×201101211200021² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 201101211199969 and 201101211200005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201101211200521) 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 15 ways as a sum of consecutive naturals, for example, 98480675 + ... + 100501968.

It is an arithmetic number, because the mean of its divisors is an integer number (13896947856960).

Almost surely, 2^{201101211200021} is an apocalyptic number.

It is an amenable number.

201101211200021 is a deficient number, since it is larger than the sum of its proper divisors (21249954511339).

201101211200021 is a wasteful number, since it uses less digits than its factorization.

201101211200021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198983896.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201101211200021 its reverse (120002112101102), we get a palindrome (321103323301123).

The spelling of 201101211200021 in words is "two hundred one trillion, one hundred one billion, two hundred eleven million, two hundred thousand, twenty-one".