12101102201100 has 216 divisors, whose sum is σ = 38787883638784. Its totient is φ = 2910500208000.

The previous prime is 12101102201087. The next prime is 12101102201101. The reversal of 12101102201100 is 110220110121.

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 (12101102201101) 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, 3297645 + ... + 5922555.

Almost surely, 2^{12101102201100} is an apocalyptic number.

12101102201100 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 12101102201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19393941819392).

12101102201100 is an abundant number, since it is smaller than the sum of its proper divisors (26686781437684).

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

12101102201100 is a wasteful number, since it uses less digits than its factorization.

12101102201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625077 (or 2625059 counting only the distinct ones).

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

Adding to 12101102201100 its reverse (110220110121), we get a palindrome (12211322311221).

The spelling of 12101102201100 in words is "twelve trillion, one hundred one billion, one hundred two million, two hundred one thousand, one hundred".