120301121111100 has 36 divisors (see below), whose sum is σ = 348071243748984. Its totient is φ = 32080298962880.

The previous prime is 120301121111069. The next prime is 120301121111107. The reversal of 120301121111100 is 1111121103021.

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 120301121111100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120301121111107) 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 11 ways as a sum of consecutive naturals, for example, 200501868219 + ... + 200501868818.

It is an arithmetic number, because the mean of its divisors is an integer number (9668645659694).

Almost surely, 2^{120301121111100} is an apocalyptic number.

120301121111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120301121111100 is an abundant number, since it is smaller than the sum of its proper divisors (227770122637884).

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

120301121111100 is a wasteful number, since it uses less digits than its factorization.

120301121111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401003737054 (or 401003737047 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 120301121111100 its reverse (1111121103021), we get a palindrome (121412242214121).

The spelling of 120301121111100 in words is "one hundred twenty trillion, three hundred one billion, one hundred twenty-one million, one hundred eleven thousand, one hundred".