10000040120001 has 48 divisors (see below), whose sum is σ = 14852985376320. Its totient is φ = 6479428032000.

The previous prime is 10000040119987. The next prime is 10000040120027. The reversal of 10000040120001 is 10002104000001.

It is a happy number.

It is not a de Polignac number, because 10000040120001 - 2¹¹ = 10000040117953 is a prime.

It is a super-2 number, since 2×10000040120001² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10000040120101) 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 47 ways as a sum of consecutive naturals, for example, 161314630 + ... + 161376608.

It is an arithmetic number, because the mean of its divisors is an integer number (309437195340).

Almost surely, 2^{10000040120001} is an apocalyptic number.

It is an amenable number.

10000040120001 is a deficient number, since it is larger than the sum of its proper divisors (4852945256319).

10000040120001 is a wasteful number, since it uses less digits than its factorization.

10000040120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63678 (or 63675 counting only the distinct ones).

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

Adding to 10000040120001 its reverse (10002104000001), we get a palindrome (20002144120002).

The spelling of 10000040120001 in words is "ten trillion, forty million, one hundred twenty thousand, one".