102122101020012 has 24 divisors (see below), whose sum is σ = 238289916752496. Its totient is φ = 34039984001088.

The previous prime is 102122101019993. The next prime is 102122101020089. The reversal of 102122101020012 is 210020101221201.

It is a junction number, because it is equal to n+sod(n) for n = 102122101019973 and 102122101020000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88948203 + ... + 90088994.

It is an arithmetic number, because the mean of its divisors is an integer number (9928746531354).

Almost surely, 2^{102122101020012} is an apocalyptic number.

102122101020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102122101020012 is an abundant number, since it is smaller than the sum of its proper divisors (136167815732484).

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

102122101020012 is a wasteful number, since it uses less digits than its factorization.

102122101020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179084737 (or 179084735 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102122101020012 its reverse (210020101221201), we get a palindrome (312142202241213).

The spelling of 102122101020012 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred one million, twenty thousand, twelve".