21011222011101 has 64 divisors (see below), whose sum is σ = 33719030231040. Its totient is φ = 11377893795840.

The previous prime is 21011222011067. The next prime is 21011222011111. The reversal of 21011222011101 is 10111022211012.

It is a happy number.

It is not a de Polignac number, because 21011222011101 - 2⁷ = 21011222010973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21011222011111) 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 63 ways as a sum of consecutive naturals, for example, 1029396586 + ... + 1029416996.

It is an arithmetic number, because the mean of its divisors is an integer number (526859847360).

Almost surely, 2^{21011222011101} is an apocalyptic number.

21011222011101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21011222011101 is a deficient number, since it is larger than the sum of its proper divisors (12707808219939).

21011222011101 is a wasteful number, since it uses less digits than its factorization.

21011222011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40106.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 21011222011101 its reverse (10111022211012), we get a palindrome (31122244222113).

The spelling of 21011222011101 in words is "twenty-one trillion, eleven billion, two hundred twenty-two million, eleven thousand, one hundred one".