121120101122200 has 192 divisors, whose sum is σ = 292493499217920. Its totient is φ = 46594154880000.

The previous prime is 121120101122177. The next prime is 121120101122221. The reversal of 121120101122200 is 2221101021121.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 6058115404 + ... + 6058135396.

It is an arithmetic number, because the mean of its divisors is an integer number (1523403641760).

Almost surely, 2^{121120101122200} is an apocalyptic number.

121120101122200 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 121120101122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146246749608960).

121120101122200 is an abundant number, since it is smaller than the sum of its proper divisors (171373398095720).

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

121120101122200 is a wasteful number, since it uses less digits than its factorization.

121120101122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26058 (or 26049 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121120101122200 its reverse (2221101021121), we get a palindrome (123341202143321).

The spelling of 121120101122200 in words is "one hundred twenty-one trillion, one hundred twenty billion, one hundred one million, one hundred twenty-two thousand, two hundred".