10000121020120 has 128 divisors (see below), whose sum is σ = 29271952419840. Its totient is φ = 2981402519040.

The previous prime is 10000121020103. The next prime is 10000121020159. The reversal of 10000121020120 is 2102012100001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10000121020097 and 10000121020106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70511607 + ... + 70653286.

It is an arithmetic number, because the mean of its divisors is an integer number (228687128280).

Almost surely, 2^{10000121020120} is an apocalyptic number.

10000121020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000121020120 is an abundant number, since it is smaller than the sum of its proper divisors (19271831399720).

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

10000121020120 is a wasteful number, since it uses less digits than its factorization.

10000121020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141164945 (or 141164941 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10000121020120 its reverse (2102012100001), we get a palindrome (12102133120121).

The spelling of 10000121020120 in words is "ten trillion, one hundred twenty-one million, twenty thousand, one hundred twenty".