121102331303200 has 288 divisors, whose sum is σ = 322071669500112. Its totient is φ = 44198092800000.

The previous prime is 121102331303189. The next prime is 121102331303209. The reversal of 121102331303200 is 2303133201121.

It can be written as a sum of positive squares in 24 ways, for example, as 12118836988944 + 108983494314256 = 3481212^2 + 10439516^2 .

It is a super-2 number, since 2×121102331303200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121102331303209) by changing a digit.

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, 631194484 + ... + 631386316.

Almost surely, 2^{121102331303200} is an apocalyptic number.

121102331303200 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 121102331303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161035834750056).

121102331303200 is an abundant number, since it is smaller than the sum of its proper divisors (200969338196912).

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

121102331303200 is a wasteful number, since it uses less digits than its factorization.

121102331303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192568 (or 192555 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 121102331303200 its reverse (2303133201121), we get a palindrome (123405464504321).

The spelling of 121102331303200 in words is "one hundred twenty-one trillion, one hundred two billion, three hundred thirty-one million, three hundred three thousand, two hundred".