121200202202100 has 288 divisors, whose sum is σ = 403813520947200. Its totient is φ = 27493208179200.

The previous prime is 121200202202041. The next prime is 121200202202111. The reversal of 121200202202100 is 1202202002121.

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 121200202202100.

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, 149154711 + ... + 149965089.

Almost surely, 2^{121200202202100} is an apocalyptic number.

121200202202100 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 121200202202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201906760473600).

121200202202100 is an abundant number, since it is smaller than the sum of its proper divisors (282613318745100).

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

121200202202100 is a wasteful number, since it uses less digits than its factorization.

121200202202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810943 (or 810936 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 121200202202100 its reverse (1202202002121), we get a palindrome (122402404204221).

The spelling of 121200202202100 in words is "one hundred twenty-one trillion, two hundred billion, two hundred two million, two hundred two thousand, one hundred".