2102005101 has 16 divisors (see below), whose sum is σ = 3203896448. Its totient is φ = 1200830400.

The previous prime is 2102005079. The next prime is 2102005123. The reversal of 2102005101 is 1015002012.

It is an interprime number because it is at equal distance from previous prime (2102005079) and next prime (2102005123).

It is not a de Polignac number, because 2102005101 - 2¹¹ = 2102003053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102005181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86211 + ... + 107871.

It is an arithmetic number, because the mean of its divisors is an integer number (200243528).

Almost surely, 2^2102005101 is an apocalyptic number.

2102005101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2102005101 is a deficient number, since it is larger than the sum of its proper divisors (1101891347).

2102005101 is a wasteful number, since it uses less digits than its factorization.

2102005101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26292.

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 2102005101 is about 45847.6291753456. The cubic root of 2102005101 is about 1280.9866052698.

Adding to 2102005101 its reverse (1015002012), we get a palindrome (3117007113).

The spelling of 2102005101 in words is "two billion, one hundred two million, five thousand, one hundred one".