2001101020101 has 6 divisors (see below), whose sum is σ = 2890479251270. Its totient is φ = 1334067346728.

The previous prime is 2001101020081. The next prime is 2001101020129. The reversal of 2001101020101 is 1010201011002.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1101019997025 + 900081023076 = 1049295^2 + 948726^2 .

It is not a de Polignac number, because 2001101020101 - 2²² = 2001096825797 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: 222344557789 = 2001101020101 / (2 + 0 + 0 + 1 + 1 + 0 + 1 + 0 + 2 + 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 (2001101024101) 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, 111172278886 + ... + 111172278903.

Almost surely, 2^{2001101020101} is an apocalyptic number.

It is an amenable number.

2001101020101 is a deficient number, since it is larger than the sum of its proper divisors (889378231169).

2001101020101 is a wasteful number, since it uses less digits than its factorization.

2001101020101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222344557795 (or 222344557792 counting only the distinct ones).

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

Adding to 2001101020101 its reverse (1010201011002), we get a palindrome (3011302031103).

Subtracting from 2001101020101 its reverse (1010201011002), we obtain a palindrome (990900009099).

The spelling of 2001101020101 in words is "two trillion, one billion, one hundred one million, twenty thousand, one hundred one".