121121321333100 has 576 divisors, whose sum is σ = 395905657416192. Its totient is φ = 28335340544000.

The previous prime is 121121321333041. The next prime is 121121321333113. The reversal of 121121321333100 is 1333123121121.

It is a super-2 number, since 2×121121321333100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4611146167 + ... + 4611172433.

It is an arithmetic number, because the mean of its divisors is an integer number (687336210792).

Almost surely, 2^{121121321333100} is an apocalyptic number.

121121321333100 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 121121321333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197952828708096).

121121321333100 is an abundant number, since it is smaller than the sum of its proper divisors (274784336083092).

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

121121321333100 is a wasteful number, since it uses less digits than its factorization.

121121321333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26706 (or 26699 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 121121321333100 its reverse (1333123121121), we get a palindrome (122454444454221).

The spelling of 121121321333100 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, three hundred twenty-one million, three hundred thirty-three thousand, one hundred".