102100122012 has 96 divisors (see below), whose sum is σ = 276861279744. Its totient is φ = 28679673600.

The previous prime is 102100122011. The next prime is 102100122029. The reversal of 102100122012 is 210221001201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100122011) 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, 16409062 + ... + 16415282.

It is an arithmetic number, because the mean of its divisors is an integer number (2883971664).

Almost surely, 2^102100122012 is an apocalyptic number.

102100122012 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 102100122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138430639872).

102100122012 is an abundant number, since it is smaller than the sum of its proper divisors (174761157732).

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

102100122012 is a wasteful number, since it uses less digits than its factorization.

102100122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9499 (or 9497 counting only the distinct ones).

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

Adding to 102100122012 its reverse (210221001201), we get a palindrome (312321123213).

The spelling of 102100122012 in words is "one hundred two billion, one hundred million, one hundred twenty-two thousand, twelve".