201110220100100 has 72 divisors (see below), whose sum is σ = 445289357631048. Its totient is φ = 78817451212800.

The previous prime is 201110220100091. The next prime is 201110220100103. The reversal of 201110220100100 is 1001022011102.

201110220100100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 94375162937344 + 106735057162756 = 9714688^2 + 10331266^2 .

It is not an unprimeable number, because it can be changed into a prime (201110220100103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62574107 + ... + 65709506.

Almost surely, 2^{201110220100100} is an apocalyptic number.

201110220100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201110220100100 is an abundant number, since it is smaller than the sum of its proper divisors (244179137530948).

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

201110220100100 is a wasteful number, since it uses less digits than its factorization.

201110220100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128283945 (or 128283938 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 201110220100100 its reverse (1001022011102), we get a palindrome (202111242111202).

The spelling of 201110220100100 in words is "two hundred one trillion, one hundred ten billion, two hundred twenty million, one hundred thousand, one hundred".