102112122201012 has 432 divisors, whose sum is σ = 327291580062720. Its totient is φ = 26273748695040.

The previous prime is 102112122200873. The next prime is 102112122201017. The reversal of 102112122201012 is 210102221211201.

102112122201012 is a `hidden beast` number, since 1 + 0 + 211 + 212 + 220 + 10 + 12 = 666.

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 (102112122201017) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7383905314 + ... + 7383919142.

Almost surely, 2^{102112122201012} is an apocalyptic number.

102112122201012 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 102112122201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163645790031360).

102112122201012 is an abundant number, since it is smaller than the sum of its proper divisors (225179457861708).

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

102112122201012 is a wasteful number, since it uses less digits than its factorization.

102112122201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16124 (or 16108 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102112122201012 its reverse (210102221211201), we get a palindrome (312214343412213).

The spelling of 102112122201012 in words is "one hundred two trillion, one hundred twelve billion, one hundred twenty-two million, two hundred one thousand, twelve".