21200211101120 has 112 divisors (see below), whose sum is σ = 51441242974560. Its totient is φ = 8319155859456.

The previous prime is 21200211101117. The next prime is 21200211101123. The reversal of 21200211101120 is 2110111200212.

It is an interprime number because it is at equal distance from previous prime (21200211101117) and next prime (21200211101123).

It is a junction number, because it is equal to n+sod(n) for n = 21200211101095 and 21200211101104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21200211101123) 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 15 ways as a sum of consecutive naturals, for example, 163480466 + ... + 163610094.

Almost surely, 2^{21200211101120} is an apocalyptic number.

21200211101120 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 21200211101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25720621487280).

21200211101120 is an abundant number, since it is smaller than the sum of its proper divisors (30241031873440).

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

21200211101120 is a wasteful number, since it uses less digits than its factorization.

21200211101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139342 (or 139332 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21200211101120 its reverse (2110111200212), we get a palindrome (23310322301332).

The spelling of 21200211101120 in words is "twenty-one trillion, two hundred billion, two hundred eleven million, one hundred one thousand, one hundred twenty".