121213133100 has 288 divisors, whose sum is σ = 414054123840. Its totient is φ = 30314926080.

The previous prime is 121213133081. The next prime is 121213133141. The reversal of 121213133100 is 1331312121.

121213133100 is a `hidden beast` number, since 1 + 21 + 21 + 313 + 310 + 0 = 666.

121213133100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121213133100² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13444194 + ... + 13453206.

It is an arithmetic number, because the mean of its divisors is an integer number (1437687930).

Almost surely, 2^121213133100 is an apocalyptic number.

121213133100 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 121213133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207027061920).

121213133100 is an abundant number, since it is smaller than the sum of its proper divisors (292840990740).

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

121213133100 is a wasteful number, since it uses less digits than its factorization.

121213133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9346 (or 9333 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 121213133100 its reverse (1331312121), we get a palindrome (122544445221).

The spelling of 121213133100 in words is "one hundred twenty-one billion, two hundred thirteen million, one hundred thirty-three thousand, one hundred".