121200202100000 has 576 divisors, whose sum is σ = 307339689000960. Its totient is φ = 47031062400000.

The previous prime is 121200202099937. The next prime is 121200202100017. The reversal of 121200202100000 is 1202002121.

It is a happy 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, 125336299517 + ... + 125336300483.

It is an arithmetic number, because the mean of its divisors is an integer number (533575848960).

Almost surely, 2^{121200202100000} is an apocalyptic number.

121200202100000 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 121200202100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153669844500480).

121200202100000 is an abundant number, since it is smaller than the sum of its proper divisors (186139486900960).

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

121200202100000 is an equidigital number, since it uses as much as digits as its factorization.

121200202100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 121200202100000 its reverse (1202002121), we get a palindrome (121201404102121).

The spelling of 121200202100000 in words is "one hundred twenty-one trillion, two hundred billion, two hundred two million, one hundred thousand".