2102123101 has 8 divisors (see below), whose sum is σ = 2264205944. Its totient is φ = 1940094720.

The previous prime is 2102123063. The next prime is 2102123147. The reversal of 2102123101 is 1013212012.

It can be written as a sum of positive squares in 4 ways, for example, as 11256025 + 2090867076 = 3355^2 + 45726^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2102123101 - 2¹¹ = 2102121053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102123161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104665 + ... + 123121.

It is an arithmetic number, because the mean of its divisors is an integer number (283025743).

Almost surely, 2^2102123101 is an apocalyptic number.

It is an amenable number.

2102123101 is a deficient number, since it is larger than the sum of its proper divisors (162082843).

2102123101 is a wasteful number, since it uses less digits than its factorization.

2102123101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27231.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2102123101 is about 45848.9160286260. The cubic root of 2102123101 is about 1281.0105750168.

Adding to 2102123101 its reverse (1013212012), we get a palindrome (3115335113).

The spelling of 2102123101 in words is "two billion, one hundred two million, one hundred twenty-three thousand, one hundred one".