102112122132 has 144 divisors (see below), whose sum is σ = 273401856000. Its totient is φ = 32068415808.

The previous prime is 102112122127. The next prime is 102112122137. The reversal of 102112122132 is 231221211201.

It is an interprime number because it is at equal distance from previous prime (102112122127) and next prime (102112122137).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112122137) 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 47 ways as a sum of consecutive naturals, for example, 31330719 + ... + 31333977.

It is an arithmetic number, because the mean of its divisors is an integer number (1898624000).

Almost surely, 2^102112122132 is an apocalyptic number.

102112122132 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 102112122132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136700928000).

102112122132 is an abundant number, since it is smaller than the sum of its proper divisors (171289733868).

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

102112122132 is a wasteful number, since it uses less digits than its factorization.

102112122132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3850 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102112122132 its reverse (231221211201), we get a palindrome (333333333333).

The spelling of 102112122132 in words is "one hundred two billion, one hundred twelve million, one hundred twenty-two thousand, one hundred thirty-two".