220011221102000 has 160 divisors (see below), whose sum is σ = 532939441192704. Its totient is φ = 87847001088000.

The previous prime is 220011221101993. The next prime is 220011221102009. The reversal of 220011221102000 is 201122110022.

It is not an unprimeable number, because it can be changed into a prime (220011221102009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9971942969 + ... + 9971965031.

Almost surely, 2^{220011221102000} is an apocalyptic number.

220011221102000 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 220011221102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266469720596352).

220011221102000 is an abundant number, since it is smaller than the sum of its proper divisors (312928220090704).

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

220011221102000 is a wasteful number, since it uses less digits than its factorization.

220011221102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30784 (or 30768 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220011221102000 its reverse (201122110022), we get a palindrome (220212343212022).

The spelling of 220011221102000 in words is "two hundred twenty trillion, eleven billion, two hundred twenty-one million, one hundred two thousand".