101323111123121 has 32 divisors (see below), whose sum is σ = 107060384268288. Its totient is φ = 95704222965120.

The previous prime is 101323111123067. The next prime is 101323111123133. The reversal of 101323111123121 is 121321111323101.

It is a cyclic number.

It is not a de Polignac number, because 101323111123121 - 2²² = 101323106928817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101323111123141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2606496941 + ... + 2606535813.

It is an arithmetic number, because the mean of its divisors is an integer number (3345637008384).

Almost surely, 2^{101323111123121} is an apocalyptic number.

It is an amenable number.

101323111123121 is a deficient number, since it is larger than the sum of its proper divisors (5737273145167).

101323111123121 is a wasteful number, since it uses less digits than its factorization.

101323111123121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43181.

The product of its (nonzero) digits is 216, while the sum is 23.

Adding to 101323111123121 its reverse (121321111323101), we get a palindrome (222644222446222).

The spelling of 101323111123121 in words is "one hundred one trillion, three hundred twenty-three billion, one hundred eleven million, one hundred twenty-three thousand, one hundred twenty-one".