102122020122012 has 576 divisors, whose sum is σ = 310246425699840. Its totient is φ = 28926906624000.

The previous prime is 102122020122011. The next prime is 102122020122037. The reversal of 102122020122012 is 210221020221201.

It is a happy number.

102122020122012 is a `hidden beast` number, since 1 + 0 + 21 + 220 + 201 + 220 + 1 + 2 = 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 (102122020122011) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25359327543 + ... + 25359331569.

It is an arithmetic number, because the mean of its divisors is an integer number (538622266840).

Almost surely, 2^{102122020122012} is an apocalyptic number.

102122020122012 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 102122020122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155123212849920).

102122020122012 is an abundant number, since it is smaller than the sum of its proper divisors (208124405577828).

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

102122020122012 is a wasteful number, since it uses less digits than its factorization.

102122020122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4831 (or 4812 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102122020122012 its reverse (210221020221201), we get a palindrome (312343040343213).

The spelling of 102122020122012 in words is "one hundred two trillion, one hundred twenty-two billion, twenty million, one hundred twenty-two thousand, twelve".