1010311000121 has 8 divisors (see below), whose sum is σ = 1045238229000. Its totient is φ = 975389699200.

The previous prime is 1010311000087. The next prime is 1010311000189. The reversal of 1010311000121 is 1210001130101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 518544010000 + 491766990121 = 720100^2 + 701261^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1010311000121 - 2³⁰ = 1009237258297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010311006121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1133846 + ... + 1818303.

It is an arithmetic number, because the mean of its divisors is an integer number (130654778625).

Almost surely, 2^{1010311000121} is an apocalyptic number.

It is an amenable number.

1010311000121 is a deficient number, since it is larger than the sum of its proper divisors (34927228879).

1010311000121 is a wasteful number, since it uses less digits than its factorization.

1010311000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2963979.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1010311000121 its reverse (1210001130101), we get a palindrome (2220312130222).

The spelling of 1010311000121 in words is "one trillion, ten billion, three hundred eleven million, one hundred twenty-one", and thus it is an aban number.