121201100202100 has 72 divisors (see below), whose sum is σ = 265582065909888. Its totient is φ = 48005739408000.

The previous prime is 121201100202097. The next prime is 121201100202101. The reversal of 121201100202100 is 1202001102121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121201100202101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124154097 + ... + 125126503.

It is an arithmetic number, because the mean of its divisors is an integer number (3688639804304).

Almost surely, 2^{121201100202100} is an apocalyptic number.

121201100202100 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 121201100202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132791032954944).

121201100202100 is an abundant number, since it is smaller than the sum of its proper divisors (144380965707788).

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

121201100202100 is a wasteful number, since it uses less digits than its factorization.

121201100202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984625 (or 984618 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 121201100202100 its reverse (1202001102121), we get a palindrome (122403101304221).

The spelling of 121201100202100 in words is "one hundred twenty-one trillion, two hundred one billion, one hundred million, two hundred two thousand, one hundred".