10102012000201 has 12 divisors (see below), whose sum is σ = 11105166240756. Its totient is φ = 9182570587520.

The previous prime is 10102012000183. The next prime is 10102012000229. The reversal of 10102012000201 is 10200021020101.

It can be written as a sum of positive squares in 2 ways, for example, as 7860868268176 + 2241143732025 = 2803724^2 + 1497045^2 .

It is not a de Polignac number, because 10102012000201 - 2⁵ = 10102012000169 is a prime.

It is a super-3 number, since 3×10102012000201³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102012000271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3856780 + ... + 5922733.

It is an arithmetic number, because the mean of its divisors is an integer number (925430520063).

Almost surely, 2^{10102012000201} is an apocalyptic number.

10102012000201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10102012000201 is a deficient number, since it is larger than the sum of its proper divisors (1003154240555).

10102012000201 is an equidigital number, since it uses as much as digits as its factorization.

10102012000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9788072 (or 9788061 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10102012000201 its reverse (10200021020101), we get a palindrome (20302033020302).

The spelling of 10102012000201 in words is "ten trillion, one hundred two billion, twelve million, two hundred one", and thus it is an aban number.