121112011220100 has 72 divisors (see below), whose sum is σ = 350419178299680. Its totient is φ = 32296374190080.

The previous prime is 121112011220047. The next prime is 121112011220113. The reversal of 121112011220100 is 1022110211121.

It is a happy number.

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 121112011220100.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 66280324 + ... + 68083076.

It is an arithmetic number, because the mean of its divisors is an integer number (4866933031940).

Almost surely, 2^{121112011220100} is an apocalyptic number.

121112011220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121112011220100 is an abundant number, since it is smaller than the sum of its proper divisors (229307167079580).

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

121112011220100 is a wasteful number, since it uses less digits than its factorization.

121112011220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026709 (or 2026702 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121112011220100 its reverse (1022110211121), we get a palindrome (122134121431221).

The spelling of 121112011220100 in words is "one hundred twenty-one trillion, one hundred twelve billion, eleven million, two hundred twenty thousand, one hundred".