121101221111100 has 144 divisors (see below), whose sum is σ = 359283241067520. Its totient is φ = 31476791001600.

The previous prime is 121101221111071. The next prime is 121101221111107. The reversal of 121101221111100 is 1111122101121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121101221111100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121101221111107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3620161 + ... + 15978360.

Almost surely, 2^{121101221111100} is an apocalyptic number.

121101221111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121101221111100 is an abundant number, since it is smaller than the sum of its proper divisors (238182019956420).

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

121101221111100 is a wasteful number, since it uses less digits than its factorization.

121101221111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19599060 (or 19599053 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 121101221111100 its reverse (1111122101121), we get a palindrome (122212343212221).

The spelling of 121101221111100 in words is "one hundred twenty-one trillion, one hundred one billion, two hundred twenty-one million, one hundred eleven thousand, one hundred".