12111020012100 has 288 divisors, whose sum is σ = 37332010598400. Its totient is φ = 3022790400000.

The previous prime is 12111020012093. The next prime is 12111020012107. The reversal of 12111020012100 is 121002011121.

It is an interprime number because it is at equal distance from previous prime (12111020012093) and next prime (12111020012107).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12111020012107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 172977100 + ... + 173047100.

It is an arithmetic number, because the mean of its divisors is an integer number (129625036800).

Almost surely, 2^{12111020012100} is an apocalyptic number.

12111020012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12111020012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18666005299200).

12111020012100 is an abundant number, since it is smaller than the sum of its proper divisors (25220990586300).

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

12111020012100 is a wasteful number, since it uses less digits than its factorization.

12111020012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70403 (or 70396 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12111020012100 its reverse (121002011121), we get a palindrome (12232022023221).

The spelling of 12111020012100 in words is "twelve trillion, one hundred eleven billion, twenty million, twelve thousand, one hundred".