21221102101120 has 32 divisors (see below), whose sum is σ = 50731697212020. Its totient is φ = 8488440840192.

The previous prime is 21221102101079. The next prime is 21221102101189. The reversal of 21221102101120 is 2110120112212.

It can be written as a sum of positive squares in 2 ways, for example, as 19905089326144 + 1316012774976 = 4461512^2 + 1147176^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 = 21221102101094 and 21221102101103.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16578985377 + ... + 16578986656.

Almost surely, 2^{21221102101120} is an apocalyptic number.

21221102101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221102101120 is an abundant number, since it is smaller than the sum of its proper divisors (29510595110900).

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

21221102101120 is an equidigital number, since it uses as much as digits as its factorization.

21221102101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33157972052 (or 33157972040 counting only the distinct ones).

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

Adding to 21221102101120 its reverse (2110120112212), we get a palindrome (23331222213332).

The spelling of 21221102101120 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred two million, one hundred one thousand, one hundred twenty".