10000121000020 has 12 divisors (see below), whose sum is σ = 21000254100084. Its totient is φ = 4000048400000.

The previous prime is 10000120999969. The next prime is 10000121000071. The reversal of 10000121000020 is 2000012100001.

It is an interprime number because it is at equal distance from previous prime (10000120999969) and next prime (10000121000071).

It can be written as a sum of positive squares in 2 ways, for example, as 6597675136836 + 3402445863184 = 2568594^2 + 1844572^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10000120999967 and 10000121000012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 250003024981 + ... + 250003025020.

It is an arithmetic number, because the mean of its divisors is an integer number (1750021175007).

Almost surely, 2^{10000121000020} is an apocalyptic number.

10000121000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000121000020 is an abundant number, since it is smaller than the sum of its proper divisors (11000133100064).

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

10000121000020 is a wasteful number, since it uses less digits than its factorization.

10000121000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500006050010 (or 500006050008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10000121000020 its reverse (2000012100001), we get a palindrome (12000133100021).

The spelling of 10000121000020 in words is "ten trillion, one hundred twenty-one million, twenty", and thus it is an aban number.