2130100101 has 48 divisors (see below), whose sum is σ = 3275279280. Its totient is φ = 1332080640.

The previous prime is 2130100097. The next prime is 2130100109. The reversal of 2130100101 is 1010010312.

It can be written as a sum of positive squares in 8 ways, for example, as 541679076 + 1588421025 = 23274^2 + 39855^2 .

It is not a de Polignac number, because 2130100101 - 2² = 2130100097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130100109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1214241 + ... + 1215993.

It is an arithmetic number, because the mean of its divisors is an integer number (68234985).

Almost surely, 2^2130100101 is an apocalyptic number.

It is an amenable number.

2130100101 is a deficient number, since it is larger than the sum of its proper divisors (1145179179).

2130100101 is a wasteful number, since it uses less digits than its factorization.

2130100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 2130100101 is about 46153.0074968035. The cubic root of 2130100101 is about 1286.6685065867.

Adding to 2130100101 its reverse (1010010312), we get a palindrome (3140110413).

The spelling of 2130100101 in words is "two billion, one hundred thirty million, one hundred thousand, one hundred one".