121013201121300 has 90 divisors (see below), whose sum is σ = 392276990377118. Its totient is φ = 32270186963520.

The previous prime is 121013201121271. The next prime is 121013201121311. The reversal of 121013201121300 is 3121102310121.

121013201121300 is a `hidden beast` number, since 1 + 2 + 10 + 1 + 320 + 11 + 21 + 300 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11231171474436 + 109782029646864 = 3351294^2 + 10477692^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 29 ways as a sum of consecutive naturals, for example, 7469942587 + ... + 7469958786.

Almost surely, 2^{121013201121300} is an apocalyptic number.

121013201121300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121013201121300 is an abundant number, since it is smaller than the sum of its proper divisors (271263789255818).

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

121013201121300 is a wasteful number, since it uses less digits than its factorization.

121013201121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14939901399 (or 14939901383 counting only the distinct ones).

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

Adding to 121013201121300 its reverse (3121102310121), we get a palindrome (124134303431421).

The spelling of 121013201121300 in words is "one hundred twenty-one trillion, thirteen billion, two hundred one million, one hundred twenty-one thousand, three hundred".