2010102201001 has 8 divisors (see below), whose sum is σ = 2022173523080. Its totient is φ = 1998059519232.

The previous prime is 2010102200999. The next prime is 2010102201007. The reversal of 2010102201001 is 1001022010102.

It can be written as a sum of positive squares in 4 ways, for example, as 29946648601 + 1980155552400 = 173051^2 + 1407180^2 .

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 2010102201001 - 2¹ = 2010102200999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2010102201007) 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, 7019280 + ... + 7300033.

It is an arithmetic number, because the mean of its divisors is an integer number (252771690385).

Almost surely, 2^{2010102201001} is an apocalyptic number.

It is an amenable number.

2010102201001 is a deficient number, since it is larger than the sum of its proper divisors (12071322079).

2010102201001 is a wasteful number, since it uses less digits than its factorization.

2010102201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14320155.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2010102201001 its reverse (1001022010102), we get a palindrome (3011124211103).

The spelling of 2010102201001 in words is "two trillion, ten billion, one hundred two million, two hundred one thousand, one".