12101110012100 has 18 divisors (see below), whose sum is σ = 26259408726474. Its totient is φ = 4840444004800.

The previous prime is 12101110012063. The next prime is 12101110012109. The reversal of 12101110012100 is 121001110121.

It can be written as a sum of positive squares in 3 ways, for example, as 2790690527296 + 9310419484804 = 1670536^2 + 3051298^2 .

It is not an unprimeable number, because it can be changed into a prime (12101110012109) 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, 60505549961 + ... + 60505550160.

Almost surely, 2^{12101110012100} is an apocalyptic number.

12101110012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101110012100 is an abundant number, since it is smaller than the sum of its proper divisors (14158298714374).

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

12101110012100 is a wasteful number, since it uses less digits than its factorization.

12101110012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121011100135 (or 121011100128 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 12101110012100 its reverse (121001110121), we get a palindrome (12222111122221).

The spelling of 12101110012100 in words is "twelve trillion, one hundred one billion, one hundred ten million, twelve thousand, one hundred".