121221233100 has 288 divisors, whose sum is σ = 447508857600. Its totient is φ = 27840153600.

The previous prime is 121221233087. The next prime is 121221233123. The reversal of 121221233100 is 1332122121.

121221233100 is a `hidden beast` number, since 121 + 2 + 212 + 331 + 0 + 0 = 666.

It is a super-2 number, since 2×121221233100² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 456892 + ... + 671708.

It is an arithmetic number, because the mean of its divisors is an integer number (1553850200).

Almost surely, 2^121221233100 is an apocalyptic number.

121221233100 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 121221233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223754428800).

121221233100 is an abundant number, since it is smaller than the sum of its proper divisors (326287624500).

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

121221233100 is a wasteful number, since it uses less digits than its factorization.

121221233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214870 (or 214857 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121221233100 its reverse (1332122121), we get a palindrome (122553355221).

The spelling of 121221233100 in words is "one hundred twenty-one billion, two hundred twenty-one million, two hundred thirty-three thousand, one hundred".