10000121222120 has 64 divisors (see below), whose sum is σ = 23404742197200. Its totient is φ = 3840778045440.

The previous prime is 10000121222089. The next prime is 10000121222137. The reversal of 10000121222120 is 2122212100001.

It can be written as a sum of positive squares in 8 ways, for example, as 313373800804 + 9686747421316 = 559798^2 + 3112354^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10000121222095 and 10000121222104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23604389 + ... + 24024308.

Almost surely, 2^{10000121222120} is an apocalyptic number.

10000121222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000121222120 is an abundant number, since it is smaller than the sum of its proper divisors (13404620975080).

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

10000121222120 is a wasteful number, since it uses less digits than its factorization.

10000121222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47628918 (or 47628914 counting only the distinct ones).

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

Adding to 10000121222120 its reverse (2122212100001), we get a palindrome (12122333322121).

The spelling of 10000121222120 in words is "ten trillion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty".