1000400434101 has 12 divisors (see below), whose sum is σ = 1450645509612. Its totient is φ = 664338548736.

The previous prime is 1000400434051. The next prime is 1000400434123. The reversal of 1000400434101 is 1014340040001.

It can be written as a sum of positive squares in 2 ways, for example, as 833304251025 + 167096183076 = 912855^2 + 408774^2 .

It is not a de Polignac number, because 1000400434101 - 2⁹ = 1000400433589 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000400434141) 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, 216253726 + ... + 216258351.

It is an arithmetic number, because the mean of its divisors is an integer number (120887125801).

Almost surely, 2^{1000400434101} is an apocalyptic number.

It is an amenable number.

1000400434101 is a deficient number, since it is larger than the sum of its proper divisors (450245075511).

1000400434101 is a wasteful number, since it uses less digits than its factorization.

1000400434101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432512340 (or 432512337 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1000400434101 its reverse (1014340040001), we get a palindrome (2014740474102).

The spelling of 1000400434101 in words is "one trillion, four hundred million, four hundred thirty-four thousand, one hundred one".