111211210112002 has 192 divisors, whose sum is σ = 228876588710784. Its totient is φ = 39838410178560.

The previous prime is 111211210111951. The next prime is 111211210112047. The reversal of 111211210112002 is 200211012112111.

111211210112002 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 3×111211210112002³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14011739778 + ... + 14011747714.

It is an arithmetic number, because the mean of its divisors is an integer number (1192065566202).

Almost surely, 2^{111211210112002} is an apocalyptic number.

111211210112002 is an abundant number, since it is smaller than the sum of its proper divisors (117665378598782).

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

111211210112002 is a wasteful number, since it uses less digits than its factorization.

111211210112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11793 (or 11786 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 111211210112002 its reverse (200211012112111), we get a palindrome (311422222224113).

The spelling of 111211210112002 in words is "one hundred eleven trillion, two hundred eleven billion, two hundred ten million, one hundred twelve thousand, two".