10220000101001 has 8 divisors (see below), whose sum is σ = 10371610348200. Its totient is φ = 10069207160320.

The previous prime is 10220000100917. The next prime is 10220000101013. The reversal of 10220000101001 is 10010100002201.

It can be written as a sum of positive squares in 4 ways, for example, as 995902206601 + 9224097894400 = 997949^2 + 3037120^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10220000101001 - 2²² = 10219995906697 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10220000101001.

It is not an unprimeable number, because it can be changed into a prime (10220000104001) 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, 204301436 + ... + 204351453.

It is an arithmetic number, because the mean of its divisors is an integer number (1296451293525).

Almost surely, 2^{10220000101001} is an apocalyptic number.

It is an amenable number.

10220000101001 is a deficient number, since it is larger than the sum of its proper divisors (151610247199).

10220000101001 is an equidigital number, since it uses as much as digits as its factorization.

10220000101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408653259.

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

Adding to 10220000101001 its reverse (10010100002201), we get a palindrome (20230100103202).

The spelling of 10220000101001 in words is "ten trillion, two hundred twenty billion, one hundred one thousand, one".