10001005610001 has 8 divisors (see below), whose sum is σ = 15239627596224. Its totient is φ = 5714860348560.

The previous prime is 10001005609993. The next prime is 10001005610009. The reversal of 10001005610001 is 10001650010001.

It is an interprime number because it is at equal distance from previous prime (10001005609993) and next prime (10001005610009).

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

It is not a de Polignac number, because 10001005610001 - 2³ = 10001005609993 is a prime.

It is a super-2 number, since 2×10001005610001² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10001005610009) 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, 238119181170 + ... + 238119181211.

It is an arithmetic number, because the mean of its divisors is an integer number (1904953449528).

Almost surely, 2^{10001005610001} is an apocalyptic number.

It is an amenable number.

10001005610001 is a deficient number, since it is larger than the sum of its proper divisors (5238621986223).

10001005610001 is an equidigital number, since it uses as much as digits as its factorization.

10001005610001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476238362391.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 10001005610001 its reverse (10001650010001), we get a palindrome (20002655620002).

The spelling of 10001005610001 in words is "ten trillion, one billion, five million, six hundred ten thousand, one".