10120040001 has 12 divisors (see below), whose sum is σ = 14631223828. Its totient is φ = 6740514144.

The previous prime is 10120039967. The next prime is 10120040057. The reversal of 10120040001 is 10004002101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6481055025 + 3638984976 = 80505^2 + 60324^2 .

It is not a de Polignac number, because 10120040001 - 2¹⁰ = 10120038977 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10120040401) 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, 504550 + ... + 524223.

Almost surely, 2^10120040001 is an apocalyptic number.

It is an amenable number.

10120040001 is a deficient number, since it is larger than the sum of its proper divisors (4511183827).

10120040001 is a wasteful number, since it uses less digits than its factorization.

10120040001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029872 (or 1029869 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10120040001 its reverse (10004002101), we get a palindrome (20124042102).

The spelling of 10120040001 in words is "ten billion, one hundred twenty million, forty thousand, one".