12120001110100 has 216 divisors, whose sum is σ = 28820017124808. Its totient is φ = 4421831731200.

The previous prime is 12120001110083. The next prime is 12120001110101. The reversal of 12120001110100 is 101110002121.

It can be written as a sum of positive squares in 36 ways, for example, as 9903344653764 + 2216656456336 = 3146958^2 + 1488844^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120001110101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 480234682 + ... + 480259918.

Almost surely, 2^{12120001110100} is an apocalyptic number.

12120001110100 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 12120001110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14410008562404).

12120001110100 is an abundant number, since it is smaller than the sum of its proper divisors (16700016014708).

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

12120001110100 is a wasteful number, since it uses less digits than its factorization.

12120001110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25615 (or 25595 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12120001110100 its reverse (101110002121), we get a palindrome (12221111112221).

The spelling of 12120001110100 in words is "twelve trillion, one hundred twenty billion, one million, one hundred ten thousand, one hundred".