10021012001 has 108 divisors (see below), whose sum is σ = 14167342476. Its totient is φ = 7057290240.

The previous prime is 10021011997. The next prime is 10021012021.

10021012001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 948640000 + 9072372001 = 30800^2 + 95249^2 .

It is not a de Polignac number, because 10021012001 - 2² = 10021011997 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 10021012001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021012021) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 73146005 + ... + 73146141.

It is an arithmetic number, because the mean of its divisors is an integer number (131179097).

Almost surely, 2^10021012001 is an apocalyptic number.

10021012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10021012001 is a deficient number, since it is larger than the sum of its proper divisors (4146330475).

10021012001 is a wasteful number, since it uses less digits than its factorization.

10021012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 241 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, 100210 and 12001, that added together give a palindrome (112211).

The spelling of 10021012001 in words is "ten billion, twenty-one million, twelve thousand, one".