220101110100 has 216 divisors, whose sum is σ = 700872349632. Its totient is φ = 57763238400.

The previous prime is 220101110039. The next prime is 220101110101. The reversal of 220101110100 is 1011101022.

It is a happy number.

220101110100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220101110101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32255289 + ... + 32262111.

Almost surely, 2^220101110100 is an apocalyptic number.

220101110100 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 220101110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350436174816).

220101110100 is an abundant number, since it is smaller than the sum of its proper divisors (480771239532).

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

220101110100 is a wasteful number, since it uses less digits than its factorization.

220101110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7407 (or 7397 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 220101110100 its reverse (1011101022), we get a palindrome (221112211122).

It can be divided in two parts, 2 and 20101110100, that added together give a palindrome (20101110102).

The spelling of 220101110100 in words is "two hundred twenty billion, one hundred one million, one hundred ten thousand, one hundred".