12121111102100 has 1152 divisors, whose sum is σ = 38307614822400. Its totient is φ = 3223332403200.

The previous prime is 12121111102097. The next prime is 12121111102117. The reversal of 12121111102100 is 120111112121.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13821106862 + ... + 13821107738.

Almost surely, 2^{12121111102100} is an apocalyptic number.

12121111102100 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 12121111102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19153807411200).

12121111102100 is an abundant number, since it is smaller than the sum of its proper divisors (26186503720300).

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

12121111102100 is a wasteful number, since it uses less digits than its factorization.

12121111102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 12121111102100 its reverse (120111112121), we get a palindrome (12241222214221).

The spelling of 12121111102100 in words is "twelve trillion, one hundred twenty-one billion, one hundred eleven million, one hundred two thousand, one hundred".