2112124420100 has 18 divisors (see below), whose sum is σ = 4583309991834. Its totient is φ = 844849768000.

The previous prime is 2112124420069. The next prime is 2112124420157. The reversal of 2112124420100 is 10244212112.

It can be written as a sum of positive squares in 3 ways, for example, as 709472659204 + 1402651760896 = 842302^2 + 1184336^2 .

It is a super-2 number, since 2×2112124420100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10560622001 + ... + 10560622200.

Almost surely, 2^{2112124420100} is an apocalyptic number.

2112124420100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112124420100 is an abundant number, since it is smaller than the sum of its proper divisors (2471185571734).

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

2112124420100 is a wasteful number, since it uses less digits than its factorization.

2112124420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21121244215 (or 21121244208 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2112124420100 its reverse (10244212112), we get a palindrome (2122368632212).

The spelling of 2112124420100 in words is "two trillion, one hundred twelve billion, one hundred twenty-four million, four hundred twenty thousand, one hundred".