2102202101 has 16 divisors (see below), whose sum is σ = 2232488448. Its totient is φ = 1976011200.

The previous prime is 2102202077. The next prime is 2102202131. The reversal of 2102202101 is 1012022012.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2102202101 - 2²⁶ = 2035093237 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 (2102202131) 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 15 ways as a sum of consecutive naturals, for example, 885446 + ... + 887816.

It is an arithmetic number, because the mean of its divisors is an integer number (139530528).

Almost surely, 2^2102202101 is an apocalyptic number.

It is an amenable number.

2102202101 is a deficient number, since it is larger than the sum of its proper divisors (130286347).

2102202101 is a wasteful number, since it uses less digits than its factorization.

2102202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2102202101 is about 45849.7775458071. Note that the first 3 decimals coincide. The cubic root of 2102202101 is about 1281.0266220579.

Adding to 2102202101 its reverse (1012022012), we get a palindrome (3114224113).

The spelling of 2102202101 in words is "two billion, one hundred two million, two hundred two thousand, one hundred one".