121011212001100 has 72 divisors (see below), whose sum is σ = 278043751092240. Its totient is φ = 45556720465920.

The previous prime is 121011212001089. The next prime is 121011212001109. The reversal of 121011212001100 is 1100212110121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (121011212001109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214303936 + ... + 214867864.

It is an arithmetic number, because the mean of its divisors is an integer number (3861718765170).

Almost surely, 2^{121011212001100} is an apocalyptic number.

121011212001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121011212001100 is an abundant number, since it is smaller than the sum of its proper divisors (157032539091140).

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

121011212001100 is a wasteful number, since it uses less digits than its factorization.

121011212001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690187 (or 690180 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 121011212001100 its reverse (1100212110121), we get a palindrome (122111424111221).

The spelling of 121011212001100 in words is "one hundred twenty-one trillion, eleven billion, two hundred twelve million, one thousand, one hundred".