10022001002001 has 24 divisors (see below), whose sum is σ = 14572407141864. Its totient is φ = 6637047459840.

The previous prime is 10022001001997. The next prime is 10022001002029. The reversal of 10022001002001 is 10020010022001.

10022001002001 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 4494569601600 + 5527431400401 = 2120040^2 + 2351049^2 .

It is not a de Polignac number, because 10022001002001 - 2² = 10022001001997 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 (10022001002401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3272686 + ... + 5545671.

It is an arithmetic number, because the mean of its divisors is an integer number (607183630911).

Almost surely, 2^{10022001002001} is an apocalyptic number.

It is an amenable number.

10022001002001 is a deficient number, since it is larger than the sum of its proper divisors (4550406139863).

10022001002001 is a wasteful number, since it uses less digits than its factorization.

10022001002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8819201 (or 8819198 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10022001002001 its reverse (10020010022001), we get a palindrome (20042011024002).

It can be divided in two parts, 1002 and 2001002001, that multiplied together give a palindrome (2005004005002).

The spelling of 10022001002001 in words is "ten trillion, twenty-two billion, one million, two thousand, one".