2121120012100 has 18 divisors (see below), whose sum is σ = 4602830426474. Its totient is φ = 848448004800.

The previous prime is 2121120012073. The next prime is 2121120012101. The reversal of 2121120012100 is 12100211212.

It can be written as a sum of positive squares in 3 ways, for example, as 411134875204 + 1709985136896 = 641198^2 + 1307664^2 .

It is a super-2 number, since 2×2121120012100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2121120012101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10605599961 + ... + 10605600160.

Almost surely, 2^{2121120012100} is an apocalyptic number.

2121120012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121120012100 is an abundant number, since it is smaller than the sum of its proper divisors (2481710414374).

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

2121120012100 is a wasteful number, since it uses less digits than its factorization.

2121120012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21211200135 (or 21211200128 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2121120012100 its reverse (12100211212), we get a palindrome (2133220223312).

The spelling of 2121120012100 in words is "two trillion, one hundred twenty-one billion, one hundred twenty million, twelve thousand, one hundred".