21220202201120 has 192 divisors, whose sum is σ = 54228792080736. Its totient is φ = 7800398807040.

The previous prime is 21220202201111. The next prime is 21220202201137. The reversal of 21220202201120 is 2110220202212.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 14560726485904 + 6659475715216 = 3815852^2 + 2580596^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1078197680 + ... + 1078217360.

Almost surely, 2^{21220202201120} is an apocalyptic number.

21220202201120 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 21220202201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27114396040368).

21220202201120 is an abundant number, since it is smaller than the sum of its proper divisors (33008589879616).

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

21220202201120 is a wasteful number, since it uses less digits than its factorization.

21220202201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21983 (or 21975 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 21220202201120 its reverse (2110220202212), we get a palindrome (23330422403332).

The spelling of 21220202201120 in words is "twenty-one trillion, two hundred twenty billion, two hundred two million, two hundred one thousand, one hundred twenty".