10040400100401 has 32 divisors (see below), whose sum is σ = 14743181692800. Its totient is φ = 6027227297280.

The previous prime is 10040400100369. The next prime is 10040400100427. The reversal of 10040400100401 is 10400100404001.

10040400100401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10040400100401 - 2⁵ = 10040400100369 is a prime.

It is a super-2 number, since 2×10040400100401² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10040400100441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10209415 + ... + 11149571.

It is an arithmetic number, because the mean of its divisors is an integer number (460724427900).

Almost surely, 2^{10040400100401} is an apocalyptic number.

10040400100401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10040400100401 is a deficient number, since it is larger than the sum of its proper divisors (4702781592399).

10040400100401 is a wasteful number, since it uses less digits than its factorization.

10040400100401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943249.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10040400100401 its reverse (10400100404001), we get a palindrome (20440500504402).

The spelling of 10040400100401 in words is "ten trillion, forty billion, four hundred million, one hundred thousand, four hundred one".