1002012000010 has 96 divisors (see below), whose sum is σ = 2110638649680. Its totient is φ = 341495497728.

The previous prime is 1002011999959. The next prime is 1002012000047. The reversal of 1002012000010 is 100002102001.

1002012000010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 953456555401 + 48555444609 = 976451^2 + 220353^2 .

It is a super-3 number, since 3×1002012000010³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 1002011999957 and 1002012000002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124423144 + ... + 124431196.

Almost surely, 2^{1002012000010} is an apocalyptic number.

1002012000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002012000010 is an abundant number, since it is smaller than the sum of its proper divisors (1108626649670).

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

1002012000010 is a wasteful number, since it uses less digits than its factorization.

1002012000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9560 (or 9553 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1002012000010 its reverse (100002102001), we get a palindrome (1102014102011).

The spelling of 1002012000010 in words is "one trillion, two billion, twelve million, ten", and thus it is an aban number and an uban number.