12121121100 has 288 divisors, whose sum is σ = 39624463872. Its totient is φ = 2835200000.

The previous prime is 12121121087. The next prime is 12121121113. The reversal of 12121121100 is 112112121.

It is an interprime number because it is at equal distance from previous prime (12121121087) and next prime (12121121113).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13664857 + ... + 13665743.

It is an arithmetic number, because the mean of its divisors is an integer number (137584944).

Almost surely, 2^12121121100 is an apocalyptic number.

12121121100 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 12121121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19812231936).

12121121100 is an abundant number, since it is smaller than the sum of its proper divisors (27503342772).

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

12121121100 is a wasteful number, since it uses less digits than its factorization.

12121121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1050 counting only the distinct ones).

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

Adding to 12121121100 its reverse (112112121), we get a palindrome (12233233221).

It can be divided in two parts, 121211 and 21100, that added together give a triangular number (142311 = T₅₃₃).

The spelling of 12121121100 in words is "twelve billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred".