121301221031100 has 432 divisors, whose sum is σ = 418731994437120. Its totient is φ = 29126920320000.

The previous prime is 121301221031077. The next prime is 121301221031129. The reversal of 121301221031100 is 1130122103121.

121301221031100 is a `hidden beast` number, since 1 + 2 + 130 + 1 + 221 + 0 + 311 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 592996840 + ... + 593201360.

It is an arithmetic number, because the mean of its divisors is an integer number (969287024160).

Almost surely, 2^{121301221031100} is an apocalyptic number.

121301221031100 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 121301221031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209365997218560).

121301221031100 is an abundant number, since it is smaller than the sum of its proper divisors (297430773406020).

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

121301221031100 is a wasteful number, since it uses less digits than its factorization.

121301221031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205122 (or 205112 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121301221031100 its reverse (1130122103121), we get a palindrome (122431343134221).

The spelling of 121301221031100 in words is "one hundred twenty-one trillion, three hundred one billion, two hundred twenty-one million, thirty-one thousand, one hundred".