10001002210001 has 4 divisors (see below), whose sum is σ = 10910184229104. Its totient is φ = 9091820190900.

The previous prime is 10001002209997. The next prime is 10001002210007. The reversal of 10001002210001 is 10001220010001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10001002210001 - 2² = 10001002209997 is a prime.

It is a super-2 number, since 2×10001002210001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001002210007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 454591009535 + ... + 454591009556.

It is an arithmetic number, because the mean of its divisors is an integer number (2727546057276).

Almost surely, 2^{10001002210001} is an apocalyptic number.

10001002210001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001002210001 is a deficient number, since it is larger than the sum of its proper divisors (909182019103).

10001002210001 is an equidigital number, since it uses as much as digits as its factorization.

10001002210001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909182019102.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10001002210001 its reverse (10001220010001), we get a palindrome (20002222220002).

The spelling of 10001002210001 in words is "ten trillion, one billion, two million, two hundred ten thousand, one".