20100111301100 has 72 divisors (see below), whose sum is σ = 47309375474928. Its totient is φ = 7382537267200.

The previous prime is 20100111301091. The next prime is 20100111301129. The reversal of 20100111301100 is 110311100102.

It is a happy number.

It is a super-2 number, since 2×20100111301100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144120482 + ... + 144259881.

It is an arithmetic number, because the mean of its divisors is an integer number (657074659374).

Almost surely, 2^{20100111301100} is an apocalyptic number.

20100111301100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100111301100 is an abundant number, since it is smaller than the sum of its proper divisors (27209264173828).

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

20100111301100 is a wasteful number, since it uses less digits than its factorization.

20100111301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288380435 (or 288380428 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 20100111301100 its reverse (110311100102), we get a palindrome (20210422401202).

The spelling of 20100111301100 in words is "twenty trillion, one hundred billion, one hundred eleven million, three hundred one thousand, one hundred".