121201022100012 has 144 divisors (see below), whose sum is σ = 303813922907040. Its totient is φ = 37594596999168.

The previous prime is 121201022099957. The next prime is 121201022100023. The reversal of 121201022100012 is 210001220102121.

It is a junction number, because it is equal to n+sod(n) for n = 121201022099964 and 121201022100000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340591314 + ... + 340946982.

Almost surely, 2^{121201022100012} is an apocalyptic number.

121201022100012 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 121201022100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151906961453520).

121201022100012 is an abundant number, since it is smaller than the sum of its proper divisors (182612900807028).

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

121201022100012 is a wasteful number, since it uses less digits than its factorization.

121201022100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356820 (or 356801 counting only the distinct ones).

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

Adding to 121201022100012 its reverse (210001220102121), we get a palindrome (331202242202133).

The spelling of 121201022100012 in words is "one hundred twenty-one trillion, two hundred one billion, twenty-two million, one hundred thousand, twelve".