21101201121 has 192 divisors, whose sum is σ = 40669655040. Its totient is φ = 9390712320.

The previous prime is 21101201119. The next prime is 21101201131. The reversal of 21101201121 is 12110210112.

It is not a de Polignac number, because 21101201121 - 2¹ = 21101201119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21101201097 and 21101201106.

It is not an unprimeable number, because it can be changed into a prime (21101201111) 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 191 ways as a sum of consecutive naturals, for example, 58777540 + ... + 58777898.

It is an arithmetic number, because the mean of its divisors is an integer number (211821120).

Almost surely, 2^21101201121 is an apocalyptic number.

21101201121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21101201121 is a deficient number, since it is larger than the sum of its proper divisors (19568453919).

21101201121 is a wasteful number, since it uses less digits than its factorization.

21101201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21101201121 its reverse (12110210112), we get a palindrome (33211411233).

It can be divided in two parts, 21101 and 201121, that added together give a palindrome (222222).

The spelling of 21101201121 in words is "twenty-one billion, one hundred one million, two hundred one thousand, one hundred twenty-one".