111211100102112 has 96 divisors (see below), whose sum is σ = 307299740267520. Its totient is φ = 35118619223040.

The previous prime is 111211100102087. The next prime is 111211100102119. The reversal of 111211100102112 is 211201001112111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 111211100102091 and 111211100102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111211100102119) 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, 98887153 + ... + 100005455.

It is an arithmetic number, because the mean of its divisors is an integer number (3201038961120).

Almost surely, 2^{111211100102112} is an apocalyptic number.

111211100102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111211100102112 is an abundant number, since it is smaller than the sum of its proper divisors (196088640165408).

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

111211100102112 is a wasteful number, since it uses less digits than its factorization.

111211100102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172856 (or 1172848 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 111211100102112 its reverse (211201001112111), we get a palindrome (322412101214223).

The spelling of 111211100102112 in words is "one hundred eleven trillion, two hundred eleven billion, one hundred million, one hundred two thousand, one hundred twelve".