10201102001001 has 6 divisors (see below), whose sum is σ = 14734925112570. Its totient is φ = 6800734667328.

The previous prime is 10201102000997. The next prime is 10201102001029. The reversal of 10201102001001 is 10010020110201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 5562781688025 + 4638320312976 = 2358555^2 + 2153676^2 .

It is not a de Polignac number, because 10201102001001 - 2² = 10201102000997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1133455777889 = 10201102001001 / (1 + 0 + 2 + 0 + 1 + 1 + 0 + 2 + 0 + 0 + 1 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (10201102001071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 566727888936 + ... + 566727888953.

It is an arithmetic number, because the mean of its divisors is an integer number (2455820852095).

Almost surely, 2^{10201102001001} is an apocalyptic number.

It is an amenable number.

10201102001001 is a deficient number, since it is larger than the sum of its proper divisors (4533823111569).

10201102001001 is a wasteful number, since it uses less digits than its factorization.

10201102001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133455777895 (or 1133455777892 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10201102001001 its reverse (10010020110201), we get a palindrome (20211122111202).

The spelling of 10201102001001 in words is "ten trillion, two hundred one billion, one hundred two million, one thousand, one".