10010203100401 has 16 divisors (see below), whose sum is σ = 11473475310720. Its totient is φ = 8555259283200.

The previous prime is 10010203100351. The next prime is 10010203100419. The reversal of 10010203100401 is 10400130201001.

10010203100401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10010203100401 - 2³¹ = 10008055616753 is a prime.

It is a super-3 number, since 3×10010203100401³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10010203160401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6108990 + ... + 7572328.

It is an arithmetic number, because the mean of its divisors is an integer number (717092206920).

Almost surely, 2^{10010203100401} is an apocalyptic number.

It is an amenable number.

10010203100401 is a deficient number, since it is larger than the sum of its proper divisors (1463272210319).

10010203100401 is a wasteful number, since it uses less digits than its factorization.

10010203100401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466184.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10010203100401 its reverse (10400130201001), we get a palindrome (20410333301402).

The spelling of 10010203100401 in words is "ten trillion, ten billion, two hundred three million, one hundred thousand, four hundred one".