2123101600 has 72 divisors (see below), whose sum is σ = 5361805260. Its totient is φ = 819947520.

The previous prime is 2123101579. The next prime is 2123101601. The reversal of 2123101600 is 61013212.

It can be written as a sum of positive squares in 6 ways, for example, as 288864016 + 1834237584 = 16996^2 + 42828^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2123101601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22557 + ... + 68956.

Almost surely, 2^2123101600 is an apocalyptic number.

2123101600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2123101600 is an abundant number, since it is smaller than the sum of its proper divisors (3238703660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2123101600 is a wasteful number, since it uses less digits than its factorization.

2123101600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91562 (or 91549 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2123101600 is about 46077.1266465260. The cubic root of 2123101600 is about 1285.2578325610.

Adding to 2123101600 its reverse (61013212), we get a palindrome (2184114812).

The spelling of 2123101600 in words is "two billion, one hundred twenty-three million, one hundred one thousand, six hundred".