100000121221220 has 144 divisors (see below), whose sum is σ = 231177886289280. Its totient is φ = 36308388695040.

The previous prime is 100000121221213. The next prime is 100000121221241. The reversal of 100000121221220 is 22122121000001.

It is a junction number, because it is equal to n+sod(n) for n = 100000121221195 and 100000121221204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9044049932 + ... + 9044060988.

It is an arithmetic number, because the mean of its divisors is an integer number (1605401988120).

Almost surely, 2^{100000121221220} is an apocalyptic number.

100000121221220 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 100000121221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115588943144640).

100000121221220 is an abundant number, since it is smaller than the sum of its proper divisors (131177765068060).

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

100000121221220 is a wasteful number, since it uses less digits than its factorization.

100000121221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16434 (or 16421 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100000121221220 its reverse (22122121000001), we get a palindrome (122122242221221).

The spelling of 100000121221220 in words is "one hundred trillion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred twenty".