10202010002001 has 12 divisors (see below), whose sum is σ = 14736281501812. Its totient is φ = 6801319309536.

The previous prime is 10202010001999. The next prime is 10202010002011. The reversal of 10202010002001 is 10020001020201.

It can be written as a sum of positive squares in 2 ways, for example, as 2638415462400 + 7563594539601 = 1624320^2 + 2750199^2 .

It is not a de Polignac number, because 10202010002001 - 2¹ = 10202010001999 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10202010002011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1771275 + ... + 4851951.

Almost surely, 2^{10202010002001} is an apocalyptic number.

It is an amenable number.

10202010002001 is a deficient number, since it is larger than the sum of its proper divisors (4534271499811).

10202010002001 is a wasteful number, since it uses less digits than its factorization.

10202010002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3448640 (or 3448637 counting only the distinct ones).

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

Adding to 10202010002001 its reverse (10020001020201), we get a palindrome (20222011022202).

The spelling of 10202010002001 in words is "ten trillion, two hundred two billion, ten million, two thousand, one".