102111112012 has 96 divisors (see below), whose sum is σ = 227771349120. Its totient is φ = 38958796800.

The previous prime is 102111111979. The next prime is 102111112027. The reversal of 102111112012 is 210211111201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 102111111983 and 102111112001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10308262 + ... + 10318162.

It is an arithmetic number, because the mean of its divisors is an integer number (2372618220).

Almost surely, 2^102111112012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102111112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113885674560).

102111112012 is an abundant number, since it is smaller than the sum of its proper divisors (125660237108).

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

102111112012 is a wasteful number, since it uses less digits than its factorization.

102111112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10931 (or 10929 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102111112012 its reverse (210211111201), we get a palindrome (312322223213).

It can be divided in two parts, 10211111201 and 2, that multiplied together give a palindrome (20422222402).

The spelling of 102111112012 in words is "one hundred two billion, one hundred eleven million, one hundred twelve thousand, twelve".