10002211010001 has 48 divisors (see below), whose sum is σ = 16639434160128. Its totient is φ = 5671443456000.

The previous prime is 10002211009969. The next prime is 10002211010083. The reversal of 10002211010001 is 10001011220001.

It is a happy number.

It is not a de Polignac number, because 10002211010001 - 2⁵ = 10002211009969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10002211010101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3788785 + ... + 5861681.

It is an arithmetic number, because the mean of its divisors is an integer number (346654878336).

Almost surely, 2^{10002211010001} is an apocalyptic number.

It is an amenable number.

10002211010001 is a deficient number, since it is larger than the sum of its proper divisors (6637223150127).

10002211010001 is a wasteful number, since it uses less digits than its factorization.

10002211010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073502 (or 2073499 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10002211010001 its reverse (10001011220001), we get a palindrome (20003222230002).

The spelling of 10002211010001 in words is "ten trillion, two billion, two hundred eleven million, ten thousand, one".