102100110012 has 96 divisors (see below), whose sum is σ = 270937372160. Its totient is φ = 33241000320.

The previous prime is 102100110011. The next prime is 102100110023. The reversal of 102100110012 is 210011001201.

It is a happy number.

102100110012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102100109976 and 102100110003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100110011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749187 + ... + 874917.

Almost surely, 2^102100110012 is an apocalyptic number.

102100110012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102100110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135468686080).

102100110012 is an abundant number, since it is smaller than the sum of its proper divisors (168837262148).

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

102100110012 is a wasteful number, since it uses less digits than its factorization.

102100110012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125920 (or 125912 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102100110012 its reverse (210011001201), we get a palindrome (312111111213).

The spelling of 102100110012 in words is "one hundred two billion, one hundred million, one hundred ten thousand, twelve".