2100100101 has 16 divisors (see below), whose sum is σ = 3055468608. Its totient is φ = 1272464000.

The previous prime is 2100100097. The next prime is 2100100109. The reversal of 2100100101 is 1010010012.

It is a cyclic number.

It is not a de Polignac number, because 2100100101 - 2² = 2100100097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2100100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100100109) 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, 216385 + ... + 225881.

It is an arithmetic number, because the mean of its divisors is an integer number (190966788).

Almost surely, 2^2100100101 is an apocalyptic number.

It is an amenable number.

2100100101 is a deficient number, since it is larger than the sum of its proper divisors (955368507).

2100100101 is a wasteful number, since it uses less digits than its factorization.

2100100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16212.

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

The square root of 2100100101 is about 45826.8491279948. The cubic root of 2100100101 is about 1280.5995118475.

Adding to 2100100101 its reverse (1010010012), we get a palindrome (3110110113).

It can be divided in two parts, 2100 and 100101, that added together give a palindrome (102201).

The spelling of 2100100101 in words is "two billion, one hundred million, one hundred thousand, one hundred one".