102111300112 has 160 divisors (see below), whose sum is σ = 214676759808. Its totient is φ = 46937899008.

The previous prime is 102111300101. The next prime is 102111300127. The reversal of 102111300112 is 211003111201.

It is a happy number.

It is a super-2 number, since 2×102111300112² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102111300092 and 102111300101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235822648 + ... + 235823080.

Almost surely, 2^102111300112 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 102111300112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107338379904).

102111300112 is an abundant number, since it is smaller than the sum of its proper divisors (112565459696).

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

102111300112 is a wasteful number, since it uses less digits than its factorization.

102111300112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 102111300112 its reverse (211003111201), we get a palindrome (313114411313).

The spelling of 102111300112 in words is "one hundred two billion, one hundred eleven million, three hundred thousand, one hundred twelve".