121111102100 has 72 divisors (see below), whose sum is σ = 274928887800. Its totient is φ = 46248294400.

The previous prime is 121111102087. The next prime is 121111102159. The reversal of 121111102100 is 1201111121.

It can be written as a sum of positive squares in 12 ways, for example, as 10675848976 + 110435253124 = 103324^2 + 332318^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23480 + ... + 492720.

It is an arithmetic number, because the mean of its divisors is an integer number (3818456775).

Almost surely, 2^121111102100 is an apocalyptic number.

121111102100 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 121111102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137464443900).

121111102100 is an abundant number, since it is smaller than the sum of its proper divisors (153817785700).

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

121111102100 is a wasteful number, since it uses less digits than its factorization.

121111102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469373 (or 469366 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 121111102100 its reverse (1201111121), we get a palindrome (122312213221).

The spelling of 121111102100 in words is "one hundred twenty-one billion, one hundred eleven million, one hundred two thousand, one hundred".