1002121220120 has 64 divisors (see below), whose sum is σ = 2289231594720. Its totient is φ = 394753342464.

The previous prime is 1002121220119. The next prime is 1002121220141. The reversal of 1002121220120 is 210221212001.

It is a junction number, because it is equal to n+sod(n) for n = 1002121220095 and 1002121220104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 556982 + ... + 1521338.

Almost surely, 2^{1002121220120} is an apocalyptic number.

1002121220120 is a gapful number since it is divisible by the number (10) 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 1002121220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144615797360).

1002121220120 is an abundant number, since it is smaller than the sum of its proper divisors (1287110374600).

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

1002121220120 is a wasteful number, since it uses less digits than its factorization.

1002121220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964764 (or 964760 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1002121220120 its reverse (210221212001), we get a palindrome (1212342432121).

The spelling of 1002121220120 in words is "one trillion, two billion, one hundred twenty-one million, two hundred twenty thousand, one hundred twenty".