21211011110201 has 12 divisors (see below), whose sum is σ = 23449348855716. Its totient is φ = 19171276444320.

The previous prime is 21211011110183. The next prime is 21211011110209. The reversal of 21211011110201 is 10201111011212.

It can be written as a sum of positive squares in 2 ways, for example, as 20205483492601 + 1005527617600 = 4495051^2 + 1002760^2 .

It is not a de Polignac number, because 21211011110201 - 2⁶ = 21211011110137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21211011110209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 506619566 + ... + 506661431.

It is an arithmetic number, because the mean of its divisors is an integer number (1954112404643).

Almost surely, 2^{21211011110201} is an apocalyptic number.

It is an amenable number.

21211011110201 is a deficient number, since it is larger than the sum of its proper divisors (2238337745515).

21211011110201 is a wasteful number, since it uses less digits than its factorization.

21211011110201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013281192 (or 1013281181 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 21211011110201 its reverse (10201111011212), we get a palindrome (31412122121413).

It can be divided in two parts, 212110 and 11110201, that added together give a palindrome (11322311).

The spelling of 21211011110201 in words is "twenty-one trillion, two hundred eleven billion, eleven million, one hundred ten thousand, two hundred one".