121111112100 has 144 divisors (see below), whose sum is σ = 392602746816. Its totient is φ = 28566720000.

The previous prime is 121111112099. The next prime is 121111112107. The reversal of 121111112100 is 1211111121.

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 (121111112107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373851 + ... + 618050.

It is an arithmetic number, because the mean of its divisors is an integer number (2726407964).

Almost surely, 2^121111112100 is an apocalyptic number.

121111112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121111112100 is an abundant number, since it is smaller than the sum of its proper divisors (271491634716).

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

121111112100 is a wasteful number, since it uses less digits than its factorization.

121111112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991966 (or 991959 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 121111112100 its reverse (1211111121), we get a palindrome (122322223221).

121111112100 divided by its reverse (1211111121) gives a square (100 = 10²).

It can be divided in two parts, 12111 and 1112100, that added together give a palindrome (1124211).

The spelling of 121111112100 in words is "one hundred twenty-one billion, one hundred eleven million, one hundred twelve thousand, one hundred".