121301133302100 has 216 divisors, whose sum is σ = 357206496071040. Its totient is φ = 31781569308160.

The previous prime is 121301133302087. The next prime is 121301133302197. The reversal of 121301133302100 is 1203331103121.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1997715541 + ... + 1997776259.

Almost surely, 2^{121301133302100} is an apocalyptic number.

121301133302100 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 121301133302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178603248035520).

121301133302100 is an abundant number, since it is smaller than the sum of its proper divisors (235905362768940).

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

121301133302100 is a wasteful number, since it uses less digits than its factorization.

121301133302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62767 (or 62701 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 121301133302100 its reverse (1203331103121), we get a palindrome (122504464405221).

The spelling of 121301133302100 in words is "one hundred twenty-one trillion, three hundred one billion, one hundred thirty-three million, three hundred two thousand, one hundred".