21111221120020 has 24 divisors (see below), whose sum is σ = 44333650704168. Its totient is φ = 8444472000000.

The previous prime is 21111221119951. The next prime is 21111221120131. The reversal of 21111221120020 is 2002112211112.

It can be written as a sum of positive squares in 4 ways, for example, as 2680908473104 + 18430312646916 = 1637348^2 + 4293054^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21111221119976 and 21111221120003.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 19328520 + ... + 20391520.

It is an arithmetic number, because the mean of its divisors is an integer number (1847235446007).

Almost surely, 2^{21111221120020} is an apocalyptic number.

21111221120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21111221120020 is an abundant number, since it is smaller than the sum of its proper divisors (23222429584148).

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

21111221120020 is a wasteful number, since it uses less digits than its factorization.

21111221120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056011 (or 2056009 counting only the distinct ones).

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

Adding to 21111221120020 its reverse (2002112211112), we get a palindrome (23113333331132).

The spelling of 21111221120020 in words is "twenty-one trillion, one hundred eleven billion, two hundred twenty-one million, one hundred twenty thousand, twenty".