2002011010101 has 6 divisors (see below), whose sum is σ = 2891793681270. Its totient is φ = 1334674006728.

The previous prime is 2002011010091. The next prime is 2002011010147. The reversal of 2002011010101 is 1010101102002.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1916424922500 + 85586087601 = 1384350^2 + 292551^2 .

It is not a de Polignac number, because 2002011010101 - 2²¹ = 2002008912949 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: 222445667789 = 2002011010101 / (2 + 0 + 0 + 2 + 0 + 1 + 1 + 0 + 1 + 0 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002011010501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111222833886 + ... + 111222833903.

It is an arithmetic number, because the mean of its divisors is an integer number (481965613545).

Almost surely, 2^{2002011010101} is an apocalyptic number.

It is an amenable number.

2002011010101 is a deficient number, since it is larger than the sum of its proper divisors (889782671169).

2002011010101 is a wasteful number, since it uses less digits than its factorization.

2002011010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222445667795 (or 222445667792 counting only the distinct ones).

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

Adding to 2002011010101 its reverse (1010101102002), we get a palindrome (3012112112103).

The spelling of 2002011010101 in words is "two trillion, two billion, eleven million, ten thousand, one hundred one".