21211102201120 has 144 divisors (see below), whose sum is σ = 56133576230760. Its totient is φ = 7561729523712.

The previous prime is 21211102201049. The next prime is 21211102201127. The reversal of 21211102201120 is 2110220111212.

It can be written as a sum of positive squares in 12 ways, for example, as 145682675856 + 21065419525264 = 381684^2 + 4589708^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 21211102201094 and 21211102201103.

It is not an unprimeable number, because it can be changed into a prime (21211102201127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12740569 + ... + 14308888.

Almost surely, 2^{21211102201120} is an apocalyptic number.

21211102201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211102201120 is an abundant number, since it is smaller than the sum of its proper divisors (34922474029640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21211102201120 is a wasteful number, since it uses less digits than its factorization.

21211102201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27049527 (or 27049506 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21211102201120 its reverse (2110220111212), we get a palindrome (23321322312332).

The spelling of 21211102201120 in words is "twenty-one trillion, two hundred eleven billion, one hundred two million, two hundred one thousand, one hundred twenty".