121121011001100 has 144 divisors (see below), whose sum is σ = 391192698314880. Its totient is φ = 28679816524800.

The previous prime is 121121011001087. The next prime is 121121011001183. The reversal of 121121011001100 is 1100110121121.

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 47 ways as a sum of consecutive naturals, for example, 426641085 + ... + 426924884.

It is an arithmetic number, because the mean of its divisors is an integer number (2716615960520).

Almost surely, 2^{121121011001100} is an apocalyptic number.

121121011001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121121011001100 is an abundant number, since it is smaller than the sum of its proper divisors (270071687313780).

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

121121011001100 is a wasteful number, since it uses less digits than its factorization.

121121011001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853566040 (or 853566033 counting only the distinct ones).

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

Adding to 121121011001100 its reverse (1100110121121), we get a palindrome (122221121122221).

The spelling of 121121011001100 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, eleven million, one thousand, one hundred".