102012121112 has 64 divisors (see below), whose sum is σ = 211482900000. Its totient is φ = 45744455680.

The previous prime is 102012121093. The next prime is 102012121147. The reversal of 102012121112 is 211121210201.

102012121112 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-2 number, since 2×102012121112² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3502064 + ... + 3531072.

Almost surely, 2^102012121112 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 102012121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105741450000).

102012121112 is an abundant number, since it is smaller than the sum of its proper divisors (109470778888).

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

102012121112 is a wasteful number, since it uses less digits than its factorization.

102012121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29564 (or 29560 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102012121112 its reverse (211121210201), we get a palindrome (313133331313).

The spelling of 102012121112 in words is "one hundred two billion, twelve million, one hundred twenty-one thousand, one hundred twelve".