200121121102122 has 192 divisors, whose sum is σ = 524079232994304. Its totient is φ = 54485166827520.

The previous prime is 200121121102117. The next prime is 200121121102163. The reversal of 200121121102122 is 221201121121002.

200121121102122 is a `hidden beast` number, since 200 + 1 + 211 + 211 + 0 + 21 + 22 = 666.

It is a super-2 number, since 2×200121121102122² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200121121102095 and 200121121102104.

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, 8558298 + ... + 21759749.

It is an arithmetic number, because the mean of its divisors is an integer number (2729579338512).

Almost surely, 2^{200121121102122} is an apocalyptic number.

200121121102122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

200121121102122 is an abundant number, since it is smaller than the sum of its proper divisors (323958111892182).

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

200121121102122 is a wasteful number, since it uses less digits than its factorization.

200121121102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30318173 (or 30318170 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 200121121102122 its reverse (221201121121002), we get a palindrome (421322242223124).

The spelling of 200121121102122 in words is "two hundred trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred two thousand, one hundred twenty-two".