2001101000101 has 4 divisors (see below), whose sum is σ = 2286972571552. Its totient is φ = 1715229428652.

The previous prime is 2001101000071. The next prime is 2001101000113. The reversal of 2001101000101 is 1010001011002.

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 2001101000101 - 2²¹ = 2001098902949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7), and also a Moran number because the ratio is a prime number: 285871571443 = 2001101000101 / (2 + 0 + 0 + 1 + 1 + 0 + 1 + 0 + 0 + 0 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001101000161) 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, 142935785715 + ... + 142935785728.

It is an arithmetic number, because the mean of its divisors is an integer number (571743142888).

Almost surely, 2^{2001101000101} is an apocalyptic number.

It is an amenable number.

2001101000101 is a deficient number, since it is larger than the sum of its proper divisors (285871571451).

2001101000101 is an equidigital number, since it uses as much as digits as its factorization.

2001101000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285871571450.

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

Adding to 2001101000101 its reverse (1010001011002), we get a palindrome (3011102011103).

The spelling of 2001101000101 in words is "two trillion, one billion, one hundred one million, one hundred one", and thus it is an aban number.