121101022200000 has 672 divisors, whose sum is σ = 417113439031296. Its totient is φ = 30977856000000.

The previous prime is 121101022199987. The next prime is 121101022200061. The reversal of 121101022200000 is 2220101121.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1576161585 + ... + 1576238415.

It is an arithmetic number, because the mean of its divisors is an integer number (620704522368).

Almost surely, 2^{121101022200000} is an apocalyptic number.

121101022200000 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 121101022200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208556719515648).

121101022200000 is an abundant number, since it is smaller than the sum of its proper divisors (296012416831296).

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

121101022200000 is an frugal number, since it uses more digits than its factorization.

121101022200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76979 (or 76949 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121101022200000 its reverse (2220101121), we get a palindrome (121103242301121).

The spelling of 121101022200000 in words is "one hundred twenty-one trillion, one hundred one billion, twenty-two million, two hundred thousand".