1000312121101 has 4 divisors (see below), whose sum is σ = 1000314396604. Its totient is φ = 1000309845600.

The previous prime is 1000312121089. The next prime is 1000312121113. The reversal of 1000312121101 is 1011212130001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (1000312121089) and next prime (1000312121113).

It can be written as a sum of positive squares in 2 ways, for example, as 404133561225 + 596178559876 = 635715^2 + 772126^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000312121101 - 2¹³ = 1000312112909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000312121141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 244680 + ... + 1435441.

It is an arithmetic number, because the mean of its divisors is an integer number (250078599151).

Almost surely, 2^{1000312121101} is an apocalyptic number.

It is an amenable number.

1000312121101 is a deficient number, since it is larger than the sum of its proper divisors (2275503).

1000312121101 is an equidigital number, since it uses as much as digits as its factorization.

1000312121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275502.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1000312121101 its reverse (1011212130001), we get a palindrome (2011524251102).

The spelling of 1000312121101 in words is "one trillion, three hundred twelve million, one hundred twenty-one thousand, one hundred one".