10100202020001 has 24 divisors (see below), whose sum is σ = 14984921455400. Its totient is φ = 6550853377536.

The previous prime is 10100202019961. The next prime is 10100202020021. The reversal of 10100202020001 is 10002020200101.

It can be written as a sum of positive squares in 4 ways, for example, as 4179734913600 + 5920467106401 = 2044440^2 + 2433201^2 .

It is not a de Polignac number, because 10100202020001 - 2³⁰ = 10099128278177 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 (10100202020021) 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, 2030025 + ... + 4931673.

Almost surely, 2^{10100202020001} is an apocalyptic number.

It is an amenable number.

10100202020001 is a deficient number, since it is larger than the sum of its proper divisors (4884719435399).

10100202020001 is a wasteful number, since it uses less digits than its factorization.

10100202020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912145 (or 2912142 counting only the distinct ones).

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

Adding to 10100202020001 its reverse (10002020200101), we get a palindrome (20102222220102).

The spelling of 10100202020001 in words is "ten trillion, one hundred billion, two hundred two million, twenty thousand, one".