102102001122 has 64 divisors (see below), whose sum is σ = 236271302784. Its totient is φ = 29070704640.

The previous prime is 102102001093. The next prime is 102102001123. The reversal of 102102001122 is 221100201201.

102102001122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102102001098 and 102102001107.

It is not an unprimeable number, because it can be changed into a prime (102102001123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 588618 + ... + 742074.

It is an arithmetic number, because the mean of its divisors is an integer number (3691739106).

Almost surely, 2^102102001122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102102001122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118135651392).

102102001122 is an abundant number, since it is smaller than the sum of its proper divisors (134169301662).

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

102102001122 is a wasteful number, since it uses less digits than its factorization.

102102001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154083.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102102001122 its reverse (221100201201), we get a palindrome (323202202323).

The spelling of 102102001122 in words is "one hundred two billion, one hundred two million, one thousand, one hundred twenty-two".