101322130210121 has 16 divisors (see below), whose sum is σ = 102668009432976. Its totient is φ = 99983520000000.

The previous prime is 101322130210097. The next prime is 101322130210127. The reversal of 101322130210121 is 121012031223101.

It can be written as a sum of positive squares in 8 ways, for example, as 2587799864896 + 98734330345225 = 1608664^2 + 9936515^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101322130210121 is a prime.

It is a super-2 number, since 2×101322130210121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101322130210093 and 101322130210102.

It is not an unprimeable number, because it can be changed into a prime (101322130210127) 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, 35513921 + ... + 38260721.

It is an arithmetic number, because the mean of its divisors is an integer number (6416750589561).

Almost surely, 2^{101322130210121} is an apocalyptic number.

It is an amenable number.

101322130210121 is a deficient number, since it is larger than the sum of its proper divisors (1345879222855).

101322130210121 is a wasteful number, since it uses less digits than its factorization.

101322130210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748124.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 101322130210121 its reverse (121012031223101), we get a palindrome (222334161433222).

The spelling of 101322130210121 in words is "one hundred one trillion, three hundred twenty-two billion, one hundred thirty million, two hundred ten thousand, one hundred twenty-one".