11112100102000 has 80 divisors (see below), whose sum is σ = 27735802009344. Its totient is φ = 4301458080000.

The previous prime is 11112100101997. The next prime is 11112100102003. The reversal of 11112100102000 is 20100121111.

It is an interprime number because it is at equal distance from previous prime (11112100101997) and next prime (11112100102003).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11112100102003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89551711 + ... + 89675710.

Almost surely, 2^{11112100102000} is an apocalyptic number.

11112100102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11112100102000 is an abundant number, since it is smaller than the sum of its proper divisors (16623701907344).

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

11112100102000 is a wasteful number, since it uses less digits than its factorization.

11112100102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179227475 (or 179227459 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11112100102000 its reverse (20100121111), we get a palindrome (11132200223111).

The spelling of 11112100102000 in words is "eleven trillion, one hundred twelve billion, one hundred million, one hundred two thousand".