201110101112100 has 72 divisors (see below), whose sum is σ = 581880016580128. Its totient is φ = 53629225977600.

The previous prime is 201110101112093. The next prime is 201110101112117. The reversal of 201110101112100 is 1211101011102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195707640 + ... + 196732560.

Almost surely, 2^{201110101112100} is an apocalyptic number.

201110101112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201110101112100 is an abundant number, since it is smaller than the sum of its proper divisors (380769915468028).

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

201110101112100 is a wasteful number, since it uses less digits than its factorization.

201110101112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679005 (or 1678998 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 201110101112100 its reverse (1211101011102), we get a palindrome (202321202123202).

The spelling of 201110101112100 in words is "two hundred one trillion, one hundred ten billion, one hundred one million, one hundred twelve thousand, one hundred".