121121201120100 has 288 divisors, whose sum is σ = 357277024473600. Its totient is φ = 31672066867200.

The previous prime is 121121201120099. The next prime is 121121201120113. The reversal of 121121201120100 is 1021102121121.

It is a happy number.

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 121121201120100.

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 95 ways as a sum of consecutive naturals, for example, 12345444195 + ... + 12345454005.

Almost surely, 2^{121121201120100} is an apocalyptic number.

121121201120100 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 121121201120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178638512236800).

121121201120100 is an abundant number, since it is smaller than the sum of its proper divisors (236155823353500).

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

121121201120100 is a wasteful number, since it uses less digits than its factorization.

121121201120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11563 (or 11556 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121121201120100 its reverse (1021102121121), we get a palindrome (122142303241221).

The spelling of 121121201120100 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, two hundred one million, one hundred twenty thousand, one hundred".