21100212222201 has 64 divisors (see below), whose sum is σ = 37822876108800. Its totient is φ = 11356643942208.

The previous prime is 21100212222181. The next prime is 21100212222289. The reversal of 21100212222201 is 10222221200112.

It is a happy number.

21100212222201 is a `hidden beast` number, since 21 + 10 + 0 + 212 + 222 + 201 = 666.

It is not a de Polignac number, because 21100212222201 - 2²⁶ = 21100145113337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21100212222101) 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, 16361011 + ... + 17603496.

It is an arithmetic number, because the mean of its divisors is an integer number (590982439200).

Almost surely, 2^{21100212222201} is an apocalyptic number.

21100212222201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21100212222201 is a deficient number, since it is larger than the sum of its proper divisors (16722663886599).

21100212222201 is a wasteful number, since it uses less digits than its factorization.

21100212222201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33964715 (or 33964709 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21100212222201 its reverse (10222221200112), we get a palindrome (31322433422313).

The spelling of 21100212222201 in words is "twenty-one trillion, one hundred billion, two hundred twelve million, two hundred twenty-two thousand, two hundred one".