2114123100 has 72 divisors (see below), whose sum is σ = 6122108160. Its totient is φ = 563282880.

The previous prime is 2114123069. The next prime is 2114123117. The reversal of 2114123100 is 13214112.

It is a super-2 number, since 2×2114123100² = 8939032963907220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2114123100.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 471469 + ... + 475931.

It is an arithmetic number, because the mean of its divisors is an integer number (85029280).

Almost surely, 2^2114123100 is an apocalyptic number.

2114123100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114123100 is an abundant number, since it is smaller than the sum of its proper divisors (4007985060).

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

2114123100 is a wasteful number, since it uses less digits than its factorization.

2114123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6059 (or 6052 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2114123100 is about 45979.5943870757. The cubic root of 2114123100 is about 1283.4435069672.

Adding to 2114123100 its reverse (13214112), we get a palindrome (2127337212).

The spelling of 2114123100 in words is "two billion, one hundred fourteen million, one hundred twenty-three thousand, one hundred".