2002010101 has 24 divisors (see below), whose sum is σ = 2588941824. Its totient is φ = 1532895840.

The previous prime is 2002010047. The next prime is 2002010111. The reversal of 2002010101 is 1010102002.

It is not a de Polignac number, because 2002010101 - 2¹³ = 2002001909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

2002010101 is a modest number, since divided by 10101 gives 2002 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002010111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30945 + ... + 70438.

It is an arithmetic number, because the mean of its divisors is an integer number (107872576).

Almost surely, 2^2002010101 is an apocalyptic number.

It is an amenable number.

2002010101 is a deficient number, since it is larger than the sum of its proper divisors (586931723).

2002010101 is a wasteful number, since it uses less digits than its factorization.

2002010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101441 (or 101434 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2002010101 is about 44743.8275184410. The cubic root of 2002010101 is about 1260.3430033253.

Adding to 2002010101 its reverse (1010102002), we get a palindrome (3012112103).

The spelling of 2002010101 in words is "two billion, two million, ten thousand, one hundred one".