21101211110120 has 128 divisors (see below), whose sum is σ = 51331151066400. Its totient is φ = 7777970159616.

The previous prime is 21101211110117. The next prime is 21101211110143. The reversal of 21101211110120 is 2101111210112.

It can be written as a sum of positive squares in 16 ways, for example, as 934806657316 + 20166404452804 = 966854^2 + 4490702^2 .

It is a super-2 number, since 2×21101211110120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21101211110095 and 21101211110104.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5249276 + ... + 8352084.

Almost surely, 2^{21101211110120} is an apocalyptic number.

21101211110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21101211110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25665575533200).

21101211110120 is an abundant number, since it is smaller than the sum of its proper divisors (30229939956280).

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

21101211110120 is a wasteful number, since it uses less digits than its factorization.

21101211110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103047 (or 3103043 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 21101211110120 its reverse (2101111210112), we get a palindrome (23202322320232).

The spelling of 21101211110120 in words is "twenty-one trillion, one hundred one billion, two hundred eleven million, one hundred ten thousand, one hundred twenty".