121002110220012 has 96 divisors (see below), whose sum is σ = 328311099379200. Its totient is φ = 33968480136192.

The previous prime is 121002110220011. The next prime is 121002110220031. The reversal of 121002110220012 is 210022011200121.

It is a junction number, because it is equal to n+sod(n) for n = 121002110219973 and 121002110220000.

It is not an unprimeable number, because it can be changed into a prime (121002110220011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3264564 + ... + 15895332.

It is an arithmetic number, because the mean of its divisors is an integer number (3419907285200).

Almost surely, 2^{121002110220012} is an apocalyptic number.

121002110220012 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 121002110220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164155549689600).

121002110220012 is an abundant number, since it is smaller than the sum of its proper divisors (207308989159188).

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

121002110220012 is a wasteful number, since it uses less digits than its factorization.

121002110220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12632775 (or 12632773 counting only the distinct ones).

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

Adding to 121002110220012 its reverse (210022011200121), we get a palindrome (331024121420133).

The spelling of 121002110220012 in words is "one hundred twenty-one trillion, two billion, one hundred ten million, two hundred twenty thousand, twelve".