20110101100100 has 72 divisors (see below), whose sum is σ = 48179661491808. Its totient is φ = 7224658412800.

The previous prime is 20110101100057. The next prime is 20110101100157. The reversal of 20110101100100 is 100110101102.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110040689 + ... + 110223288.

It is an arithmetic number, because the mean of its divisors is an integer number (669161965164).

Almost surely, 2^{20110101100100} is an apocalyptic number.

20110101100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20110101100100 is an abundant number, since it is smaller than the sum of its proper divisors (28069560391708).

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

20110101100100 is a wasteful number, since it uses less digits than its factorization.

20110101100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220264085 (or 220264078 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 20110101100100 its reverse (100110101102), we get a palindrome (20210211201202).

The spelling of 20110101100100 in words is "twenty trillion, one hundred ten billion, one hundred one million, one hundred thousand, one hundred".