1002112121020 has 48 divisors (see below), whose sum is σ = 2177106996960. Its totient is φ = 387003981056.

The previous prime is 1002112120969. The next prime is 1002112121041. The reversal of 1002112121020 is 201212112001.

1002112121020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 23325279 + ... + 23368201.

It is an arithmetic number, because the mean of its divisors is an integer number (45356395770).

Almost surely, 2^{1002112121020} is an apocalyptic number.

1002112121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002112121020 is an abundant number, since it is smaller than the sum of its proper divisors (1174994875940).

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

1002112121020 is a wasteful number, since it uses less digits than its factorization.

1002112121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83214 (or 83212 counting only the distinct ones).

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

Adding to 1002112121020 its reverse (201212112001), we get a palindrome (1203324233021).

The spelling of 1002112121020 in words is "one trillion, two billion, one hundred twelve million, one hundred twenty-one thousand, twenty".