201100100311100 has 18 divisors (see below), whose sum is σ = 436387217675304. Its totient is φ = 80440040124400.

The previous prime is 201100100311087. The next prime is 201100100311133. The reversal of 201100100311100 is 1113001001102.

It is a happy number.

201100100311100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×201100100311100³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1005500501456 + ... + 1005500501655.

Almost surely, 2^{201100100311100} is an apocalyptic number.

201100100311100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201100100311100 is an abundant number, since it is smaller than the sum of its proper divisors (235287117364204).

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

201100100311100 is a wasteful number, since it uses less digits than its factorization.

201100100311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011001003125 (or 2011001003118 counting only the distinct ones).

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

Adding to 201100100311100 its reverse (1113001001102), we get a palindrome (202213101312202).

The spelling of 201100100311100 in words is "two hundred one trillion, one hundred billion, one hundred million, three hundred eleven thousand, one hundred".