121133300012100 has 216 divisors, whose sum is σ = 391665226487808. Its totient is φ = 31290724051200.

The previous prime is 121133300012089. The next prime is 121133300012111. The reversal of 121133300012100 is 1210003331121.

121133300012100 is a `hidden beast` number, since 1 + 21 + 133 + 300 + 0 + 1 + 210 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (121133300012089) and next prime (121133300012111).

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 71 ways as a sum of consecutive naturals, for example, 453316 + ... + 15571515.

Almost surely, 2^{121133300012100} is an apocalyptic number.

121133300012100 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 121133300012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195832613243904).

121133300012100 is an abundant number, since it is smaller than the sum of its proper divisors (270531926475708).

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

121133300012100 is a wasteful number, since it uses less digits than its factorization.

121133300012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16025115 (or 16025105 counting only the distinct ones).

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

Adding to 121133300012100 its reverse (1210003331121), we get a palindrome (122343303343221).

The spelling of 121133300012100 in words is "one hundred twenty-one trillion, one hundred thirty-three billion, three hundred million, twelve thousand, one hundred".