1000121312101 has 16 divisors (see below), whose sum is σ = 1006250229504. Its totient is φ = 994016003904.

The previous prime is 1000121312077. The next prime is 1000121312119. The reversal of 1000121312101 is 1012131210001.

It is a happy number.

1000121312101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1000121312101 - 2²⁷ = 999987094373 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 (1000121312501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179455551 + ... + 179461123.

It is an arithmetic number, because the mean of its divisors is an integer number (62890639344).

Almost surely, 2^{1000121312101} is an apocalyptic number.

It is an amenable number.

1000121312101 is a deficient number, since it is larger than the sum of its proper divisors (6128917403).

1000121312101 is a wasteful number, since it uses less digits than its factorization.

1000121312101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7500.

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

Adding to 1000121312101 its reverse (1012131210001), we get a palindrome (2012252522102).

The spelling of 1000121312101 in words is "one trillion, one hundred twenty-one million, three hundred twelve thousand, one hundred one".