1000010432101 has 8 divisors (see below), whose sum is σ = 1017557794008. Its totient is φ = 982500288000.

The previous prime is 1000010432059. The next prime is 1000010432107. The reversal of 1000010432101 is 1012340100001.

1000010432101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 135530741025 + 864479691076 = 368145^2 + 929774^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000010432101 - 2²⁷ = 999876214373 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000010432107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9250240 + ... + 9357721.

It is an arithmetic number, because the mean of its divisors is an integer number (127194724251).

Almost surely, 2^{1000010432101} is an apocalyptic number.

It is an amenable number.

1000010432101 is a deficient number, since it is larger than the sum of its proper divisors (17547361907).

1000010432101 is an equidigital number, since it uses as much as digits as its factorization.

1000010432101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18608903.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1000010432101 its reverse (1012340100001), we get a palindrome (2012350532102).

The spelling of 1000010432101 in words is "one trillion, ten million, four hundred thirty-two thousand, one hundred one".