2116267100 has 36 divisors (see below), whose sum is σ = 4862438784. Its totient is φ = 796711680.

The previous prime is 2116267091. The next prime is 2116267103. The reversal of 2116267100 is 17626112.

It is a self number, because there is not a number n which added to its sum of digits gives 2116267100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116267103) 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 11 ways as a sum of consecutive naturals, for example, 620732 + ... + 624131.

It is an arithmetic number, because the mean of its divisors is an integer number (135067744).

Almost surely, 2^2116267100 is an apocalyptic number.

2116267100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2116267100 is an abundant number, since it is smaller than the sum of its proper divisors (2746171684).

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

2116267100 is a wasteful number, since it uses less digits than its factorization.

2116267100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244894 (or 1244887 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 2116267100 is about 46002.9031692566. The cubic root of 2116267100 is about 1283.8772207855.

The spelling of 2116267100 in words is "two billion, one hundred sixteen million, two hundred sixty-seven thousand, one hundred".