121320101100 has 432 divisors, whose sum is σ = 399870656640. Its totient is φ = 28156262400.

The previous prime is 121320101033. The next prime is 121320101107. The reversal of 121320101100 is 1101023121.

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 (121320101107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 360000132 + ... + 360000468.

It is an arithmetic number, because the mean of its divisors is an integer number (925626520).

Almost surely, 2^121320101100 is an apocalyptic number.

121320101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121320101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199935328320).

121320101100 is an abundant number, since it is smaller than the sum of its proper divisors (278550555540).

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

121320101100 is a wasteful number, since it uses less digits than its factorization.

121320101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 460 counting only the distinct ones).

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

Adding to 121320101100 its reverse (1101023121), we get a palindrome (122421124221).

The spelling of 121320101100 in words is "one hundred twenty-one billion, three hundred twenty million, one hundred one thousand, one hundred".