20010110112200 has 192 divisors, whose sum is σ = 51056039860560. Its totient is φ = 7247741829120.

The previous prime is 20010110112197. The next prime is 20010110112203. The reversal of 20010110112200 is 221101101002.

It is an interprime number because it is at equal distance from previous prime (20010110112197) and next prime (20010110112203).

It can be written as a sum of positive squares in 24 ways, for example, as 109178698084 + 19900931414116 = 330422^2 + 4461046^2 .

It is not an unprimeable number, because it can be changed into a prime (20010110112203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1606328372 + ... + 1606340828.

Almost surely, 2^{20010110112200} is an apocalyptic number.

20010110112200 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 20010110112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25528019930280).

20010110112200 is an abundant number, since it is smaller than the sum of its proper divisors (31045929748360).

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

20010110112200 is a wasteful number, since it uses less digits than its factorization.

20010110112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24196 (or 24187 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20010110112200 its reverse (221101101002), we get a palindrome (20231211213202).

The spelling of 20010110112200 in words is "twenty trillion, ten billion, one hundred ten million, one hundred twelve thousand, two hundred".