1002121020012 has 36 divisors (see below), whose sum is σ = 2720042770200. Its totient is φ = 286320291264.

The previous prime is 1002121019941. The next prime is 1002121020053. The reversal of 1002121020012 is 2100201212001.

It is a super-4 number, since 4×1002121020012⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1002121020012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 852143137 + ... + 852144312.

Almost surely, 2^{1002121020012} is an apocalyptic number.

1002121020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002121020012 is an abundant number, since it is smaller than the sum of its proper divisors (1717921750188).

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

1002121020012 is a wasteful number, since it uses less digits than its factorization.

1002121020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704287470 (or 1704287461 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1002121020012 its reverse (2100201212001), we get a palindrome (3102322232013).

The spelling of 1002121020012 in words is "one trillion, two billion, one hundred twenty-one million, twenty thousand, twelve".