20110220100 has 108 divisors (see below), whose sum is σ = 63333706800. Its totient is φ = 5337259200.

The previous prime is 20110220099. The next prime is 20110220107. The reversal of 20110220100 is 102201102.

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

It is not an unprimeable number, because it can be changed into a prime (20110220107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 136951 + ... + 242849.

Almost surely, 2^20110220100 is an apocalyptic number.

20110220100 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 20110220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31666853400).

20110220100 is an abundant number, since it is smaller than the sum of its proper divisors (43223486700).

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

20110220100 is a wasteful number, since it uses less digits than its factorization.

20110220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106130 (or 106120 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20110220100 its reverse (102201102), we get a palindrome (20212421202).

The spelling of 20110220100 in words is "twenty billion, one hundred ten million, two hundred twenty thousand, one hundred".