1002121210120 has 32 divisors (see below), whose sum is σ = 2256373114200. Its totient is φ = 400563970048.

The previous prime is 1002121210117. The next prime is 1002121210141. The reversal of 1002121210120 is 210121212001.

It can be written as a sum of positive squares in 4 ways, for example, as 384397520004 + 617723690116 = 619998^2 + 785954^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1002121210120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8833999 + ... + 8946718.

Almost surely, 2^{1002121210120} is an apocalyptic number.

1002121210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002121210120 is an abundant number, since it is smaller than the sum of its proper divisors (1254251904080).

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

1002121210120 is a wasteful number, since it uses less digits than its factorization.

1002121210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17782137 (or 17782133 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1002121210120 its reverse (210121212001), we get a palindrome (1212242422121).

The spelling of 1002121210120 in words is "one trillion, two billion, one hundred twenty-one million, two hundred ten thousand, one hundred twenty".