21100122102201 has 16 divisors (see below), whose sum is σ = 29093166632448. Its totient is φ = 13588542144000.

The previous prime is 21100122102149. The next prime is 21100122102253. The reversal of 21100122102201 is 10220122100112.

It is an interprime number because it is at equal distance from previous prime (21100122102149) and next prime (21100122102253).

It is not a de Polignac number, because 21100122102201 - 2⁹ = 21100122101689 is a prime.

It is a super-2 number, since 2×21100122102201² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21100122102701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203613400 + ... + 203717001.

It is an arithmetic number, because the mean of its divisors is an integer number (1818322914528).

Almost surely, 2^{21100122102201} is an apocalyptic number.

It is an amenable number.

21100122102201 is a deficient number, since it is larger than the sum of its proper divisors (7993044530247).

21100122102201 is a wasteful number, since it uses less digits than its factorization.

21100122102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407330992.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21100122102201 its reverse (10220122100112), we get a palindrome (31320244202313).

The spelling of 21100122102201 in words is "twenty-one trillion, one hundred billion, one hundred twenty-two million, one hundred two thousand, two hundred one".