121301003301100 has 144 divisors (see below), whose sum is σ = 304074263001600. Its totient is φ = 41140784056320.

The previous prime is 121301003301061. The next prime is 121301003301151. The reversal of 121301003301100 is 1103300103121.

It is a super-2 number, since 2×121301003301100² (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 47 ways as a sum of consecutive naturals, for example, 66075411 + ... + 67886389.

It is an arithmetic number, because the mean of its divisors is an integer number (2111626826400).

Almost surely, 2^{121301003301100} is an apocalyptic number.

121301003301100 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 121301003301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152037131500800).

121301003301100 is an abundant number, since it is smaller than the sum of its proper divisors (182773259700500).

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

121301003301100 is a wasteful number, since it uses less digits than its factorization.

121301003301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812032 (or 1812025 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 121301003301100 its reverse (1103300103121), we get a palindrome (122404303404221).

The spelling of 121301003301100 in words is "one hundred twenty-one trillion, three hundred one billion, three million, three hundred one thousand, one hundred".