10000201101001 has 4 divisors (see below), whose sum is σ = 10141049003904. Its totient is φ = 9859353198100.

The previous prime is 10000201100983. The next prime is 10000201101091. The reversal of 10000201101001 is 10010110200001.

10000201101001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10000201101001 - 2²¹ = 10000199003849 is a prime.

It is a super-2 number, since 2×10000201101001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000201101091) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70423951345 + ... + 70423951486.

It is an arithmetic number, because the mean of its divisors is an integer number (2535262250976).

Almost surely, 2^{10000201101001} is an apocalyptic number.

It is an amenable number.

10000201101001 is a deficient number, since it is larger than the sum of its proper divisors (140847902903).

10000201101001 is an equidigital number, since it uses as much as digits as its factorization.

10000201101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140847902902.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10000201101001 its reverse (10010110200001), we get a palindrome (20010311301002).

The spelling of 10000201101001 in words is "ten trillion, two hundred one million, one hundred one thousand, one".