10010200201001 has 48 divisors (see below), whose sum is σ = 13552836200064. Its totient is φ = 7199351992800.

The previous prime is 10010200200991. The next prime is 10010200201007.

10010200201001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10010200201001 - 2³⁰ = 10009126459177 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10010200201001.

It is not an unprimeable number, because it can be changed into a prime (10010200201007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1101106466 + ... + 1101115556.

It is an arithmetic number, because the mean of its divisors is an integer number (282350754168).

Almost surely, 2^{10010200201001} is an apocalyptic number.

10010200201001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010200201001 is a deficient number, since it is larger than the sum of its proper divisors (3542635999063).

10010200201001 is an frugal number, since it uses more digits than its factorization.

10010200201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18235 (or 9122 counting only the distinct ones).

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

It can be divided in two parts, 10010200 and 201001, that added together give a palindrome (10211201).

The spelling of 10010200201001 in words is "ten trillion, ten billion, two hundred million, two hundred one thousand, one".