21101101223120 has 40 divisors (see below), whose sum is σ = 49087669037064. Its totient is φ = 8435690606592.

The previous prime is 21101101223071. The next prime is 21101101223129. The reversal of 21101101223120 is 2132210110112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 452111001664 + 20648990221456 = 672392^2 + 4544116^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101101223129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74073869 + ... + 74358188.

Almost surely, 2^{21101101223120} is an apocalyptic number.

21101101223120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21101101223120 is an abundant number, since it is smaller than the sum of its proper divisors (27986567813944).

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

21101101223120 is a wasteful number, since it uses less digits than its factorization.

21101101223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148433847 (or 148433841 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 21101101223120 its reverse (2132210110112), we get a palindrome (23233311333232).

The spelling of 21101101223120 in words is "twenty-one trillion, one hundred one billion, one hundred one million, two hundred twenty-three thousand, one hundred twenty".