10020011002001 has 72 divisors (see below), whose sum is σ = 13882729386528. Its totient is φ = 7207192792800.

The previous prime is 10020011001997. The next prime is 10020011002013.

10020011002001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10020011002001 - 2² = 10020011001997 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10020011002001.

It is not an unprimeable number, because it can be changed into a prime (10020011002021) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10567466 + ... + 11476556.

It is an arithmetic number, because the mean of its divisors is an integer number (192815685924).

Almost surely, 2^{10020011002001} is an apocalyptic number.

10020011002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10020011002001 is a deficient number, since it is larger than the sum of its proper divisors (3862718384527).

10020011002001 is an equidigital number, since it uses as much as digits as its factorization.

10020011002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909164 (or 909122 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, 1002001 and 1002001, that added together give a palindrome (2004002).

The spelling of 10020011002001 in words is "ten trillion, twenty billion, eleven million, two thousand, one".