2100010101 has 48 divisors (see below), whose sum is σ = 3412886400. Its totient is φ = 1143069312.

The previous prime is 2100010057. The next prime is 2100010109. The reversal of 2100010101 is 1010100012.

It is not a de Polignac number, because 2100010101 - 2¹⁹ = 2099485813 is a prime.

2100010101 is a modest number, since divided by 10101 gives 2100 as remainder.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2100010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100010109) 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 47 ways as a sum of consecutive naturals, for example, 908335 + ... + 910643.

It is an arithmetic number, because the mean of its divisors is an integer number (71101800).

Almost surely, 2^2100010101 is an apocalyptic number.

2100010101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2100010101 is a deficient number, since it is larger than the sum of its proper divisors (1312876299).

2100010101 is a wasteful number, since it uses less digits than its factorization.

2100010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2618 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 2100010101 is about 45825.8671603713. The cubic root of 2100010101 is about 1280.5812181795.

Adding to 2100010101 its reverse (1010100012), we get a palindrome (3110110113).

The spelling of 2100010101 in words is "two billion, one hundred million, ten thousand, one hundred one".