10020101002001 has 8 divisors (see below), whose sum is σ = 10054661430720. Its totient is φ = 9985583322288.

The previous prime is 10020101001991. The next prime is 10020101002117. The reversal of 10020101002001 is 10020010102001.

10020101002001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10020101002001 - 2³⁴ = 10002921132817 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 10020101002001.

It is not an unprimeable number, because it can be changed into a prime (10020101005001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10217621 + ... + 11155266.

It is an arithmetic number, because the mean of its divisors is an integer number (1256832678840).

Almost surely, 2^{10020101002001} is an apocalyptic number.

It is an amenable number.

10020101002001 is a deficient number, since it is larger than the sum of its proper divisors (34560428719).

10020101002001 is a wasteful number, since it uses less digits than its factorization.

10020101002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21374503.

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

Adding to 10020101002001 its reverse (10020010102001), we get a palindrome (20040111104002).

The spelling of 10020101002001 in words is "ten trillion, twenty billion, one hundred one million, two thousand, one".