101000111323121 has 8 divisors (see below), whose sum is σ = 101050573351680. Its totient is φ = 100949650756192.

The previous prime is 101000111323087. The next prime is 101000111323123. The reversal of 101000111323121 is 121323111000101.

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 101000111323121 - 2²⁶ = 101000044214257 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101000111323121.

It is not an unprimeable number, because it can be changed into a prime (101000111323123) 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, 154136060 + ... + 154789938.

It is an arithmetic number, because the mean of its divisors is an integer number (12631321668960).

Almost surely, 2^{101000111323121} is an apocalyptic number.

It is an amenable number.

101000111323121 is a deficient number, since it is larger than the sum of its proper divisors (50462028559).

101000111323121 is an equidigital number, since it uses as much as digits as its factorization.

101000111323121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730815.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 101000111323121 its reverse (121323111000101), we get a palindrome (222323222323222).

The spelling of 101000111323121 in words is "one hundred one trillion, one hundred eleven million, three hundred twenty-three thousand, one hundred twenty-one".