220001101100022 has 384 divisors, whose sum is σ = 516794843819520. Its totient is φ = 62269249996800.

The previous prime is 220001101099981. The next prime is 220001101100029.

220001101100022 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 220001101099980 and 220001101100007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220001101100029) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 117836689533 + ... + 117836691399.

It is an arithmetic number, because the mean of its divisors is an integer number (1345819905780).

Almost surely, 2^{220001101100022} is an apocalyptic number.

220001101100022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220001101100022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258397421909760).

220001101100022 is an abundant number, since it is smaller than the sum of its proper divisors (296793742719498).

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

220001101100022 is a wasteful number, since it uses less digits than its factorization.

220001101100022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 22000110 and 1100022, that added together give a palindrome (23100132).

The spelling of 220001101100022 in words is "two hundred twenty trillion, one billion, one hundred one million, one hundred thousand, twenty-two".