10012002101001 has 12 divisors (see below), whose sum is σ = 14468315762628. Its totient is φ = 6671651936544.

The previous prime is 10012002100883. The next prime is 10012002101039. The reversal of 10012002101001 is 10010120021001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9459001651401 + 553000449600 = 3075549^2 + 743640^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10012002101001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10012002101081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 251323210 + ... + 251363043.

It is an arithmetic number, because the mean of its divisors is an integer number (1205692980219).

Almost surely, 2^{10012002101001} is an apocalyptic number.

It is an amenable number.

10012002101001 is a deficient number, since it is larger than the sum of its proper divisors (4456313661627).

10012002101001 is a wasteful number, since it uses less digits than its factorization.

10012002101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502688472 (or 502688469 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10012002101001 its reverse (10010120021001), we get a palindrome (20022122122002).

The spelling of 10012002101001 in words is "ten trillion, twelve billion, two million, one hundred one thousand, one".