10202000012009 has 16 divisors (see below), whose sum is σ = 11112859803024. Its totient is φ = 9309444096000.

The previous prime is 10202000011963. The next prime is 10202000012023. The reversal of 10202000012009 is 90021000020201.

10202000012009 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 829811683600 + 9372188328409 = 910940^2 + 3061403^2 .

It is a cyclic number.

It is not a de Polignac number, because 10202000012009 - 2¹⁶ = 10201999946473 is a prime.

It is a super-2 number, since 2×10202000012009² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10202000012059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5219204 + ... + 6902469.

It is an arithmetic number, because the mean of its divisors is an integer number (694553737689).

Almost surely, 2^{10202000012009} is an apocalyptic number.

It is an amenable number.

10202000012009 is a deficient number, since it is larger than the sum of its proper divisors (910859791015).

10202000012009 is a wasteful number, since it uses less digits than its factorization.

10202000012009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12122428.

The product of its (nonzero) digits is 72, while the sum is 17.

The spelling of 10202000012009 in words is "ten trillion, two hundred two billion, twelve thousand, nine".