101320122323121 has 16 divisors (see below), whose sum is σ = 145710165250944. Its totient is φ = 62254475334144.

The previous prime is 101320122323039. The next prime is 101320122323131. The reversal of 101320122323121 is 121323221023101.

It is not a de Polignac number, because 101320122323121 - 2¹¹ = 101320122321073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101320122323091 and 101320122323100.

It is not an unprimeable number, because it can be changed into a prime (101320122323131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2007665536 + ... + 2007716001.

It is an arithmetic number, because the mean of its divisors is an integer number (9106885328184).

Almost surely, 2^{101320122323121} is an apocalyptic number.

It is an amenable number.

101320122323121 is a deficient number, since it is larger than the sum of its proper divisors (44390042927823).

101320122323121 is a wasteful number, since it uses less digits than its factorization.

101320122323121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4015382200.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 101320122323121 its reverse (121323221023101), we get a palindrome (222643343346222).

The spelling of 101320122323121 in words is "one hundred one trillion, three hundred twenty billion, one hundred twenty-two million, three hundred twenty-three thousand, one hundred twenty-one".