110022220100 has 288 divisors, whose sum is σ = 282032948736. Its totient is φ = 36882432000.

The previous prime is 110022220093. The next prime is 110022220109. The reversal of 110022220100 is 1022220011.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (110022220109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75824375 + ... + 75825825.

It is an arithmetic number, because the mean of its divisors is an integer number (979281072).

Almost surely, 2^110022220100 is an apocalyptic number.

110022220100 is a gapful number since it is divisible by the number (10) 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 110022220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141016474368).

110022220100 is an abundant number, since it is smaller than the sum of its proper divisors (172010728636).

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

110022220100 is a wasteful number, since it uses less digits than its factorization.

110022220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 110022220100 its reverse (1022220011), we get a palindrome (111044440111).

The spelling of 110022220100 in words is "one hundred ten billion, twenty-two million, two hundred twenty thousand, one hundred".