20110010221120 has 112 divisors (see below), whose sum is σ = 49183660533168. Its totient is φ = 7826207662080.

The previous prime is 20110010221051. The next prime is 20110010221177. The reversal of 20110010221120 is 2112201001102.

It can be written as a sum of positive squares in 8 ways, for example, as 547647361024 + 19562362860096 = 740032^2 + 4422936^2 .

It is a super-2 number, since 2×20110010221120² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20110010221120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383364814 + ... + 383417266.

It is an arithmetic number, because the mean of its divisors is an integer number (439139826189).

Almost surely, 2^{20110010221120} is an apocalyptic number.

20110010221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20110010221120 is an abundant number, since it is smaller than the sum of its proper divisors (29073650312048).

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

20110010221120 is a wasteful number, since it uses less digits than its factorization.

20110010221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84888 (or 84878 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20110010221120 its reverse (2112201001102), we get a palindrome (22222211222222).

The spelling of 20110010221120 in words is "twenty trillion, one hundred ten billion, ten million, two hundred twenty-one thousand, one hundred twenty".