10022002102001 has 8 divisors (see below), whose sum is σ = 10085929309224. Its totient is φ = 9958076069760.

The previous prime is 10022002101931. The next prime is 10022002102037. The reversal of 10022002102001 is 10020120022001.

It is a happy number.

10022002102001 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 14238216976 + 10007763885025 = 119324^2 + 3163505^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10022002102001 is a prime.

It is a super-2 number, since 2×10022002102001² (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 (10022002102201) 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, 22383341 + ... + 22826693.

It is an arithmetic number, because the mean of its divisors is an integer number (1260741163653).

Almost surely, 2^{10022002102001} is an apocalyptic number.

It is an amenable number.

10022002102001 is a deficient number, since it is larger than the sum of its proper divisors (63927207223).

10022002102001 is a wasteful number, since it uses less digits than its factorization.

10022002102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587491.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10022002102001 its reverse (10020120022001), we get a palindrome (20042122124002).

The spelling of 10022002102001 in words is "ten trillion, twenty-two billion, two million, one hundred two thousand, one".