10001120012001 has 12 divisors (see below), whose sum is σ = 14460848395812. Its totient is φ = 6660588961536.

The previous prime is 10001120011997. The next prime is 10001120012003. The reversal of 10001120012001 is 10021002110001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8742808166976 + 1258311845025 = 2956824^2 + 1121745^2 .

It is not a de Polignac number, because 10001120012001 - 2² = 10001120011997 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 (10001120012003) 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, 568689036 + ... + 568706621.

It is an arithmetic number, because the mean of its divisors is an integer number (1205070699651).

Almost surely, 2^{10001120012001} is an apocalyptic number.

It is an amenable number.

10001120012001 is a deficient number, since it is larger than the sum of its proper divisors (4459728383811).

10001120012001 is a wasteful number, since it uses less digits than its factorization.

10001120012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137396640 (or 1137396637 counting only the distinct ones).

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

Adding to 10001120012001 its reverse (10021002110001), we get a palindrome (20022122122002).

The spelling of 10001120012001 in words is "ten trillion, one billion, one hundred twenty million, twelve thousand, one".