121100122022100 has 288 divisors, whose sum is σ = 390307674710016. Its totient is φ = 28788422284800.

The previous prime is 121100122022083. The next prime is 121100122022179. The reversal of 121100122022100 is 1220221001121.

It is a super-3 number, since 3×121100122022100³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121100122022100.

It is a congruent number.

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, 57849907 + ... + 59906693.

It is an arithmetic number, because the mean of its divisors is an integer number (1355234981632).

Almost surely, 2^{121100122022100} is an apocalyptic number.

121100122022100 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 121100122022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195153837355008).

121100122022100 is an abundant number, since it is smaller than the sum of its proper divisors (269207552687916).

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

121100122022100 is a wasteful number, since it uses less digits than its factorization.

121100122022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057335 (or 2057328 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121100122022100 its reverse (1220221001121), we get a palindrome (122320343023221).

The spelling of 121100122022100 in words is "one hundred twenty-one trillion, one hundred billion, one hundred twenty-two million, twenty-two thousand, one hundred".