101331131010121 has 2 divisors, whose sum is σ = 101331131010122. Its totient is φ = 101331131010120.

The previous prime is 101331131010103. The next prime is 101331131010173. The reversal of 101331131010121 is 121010131133101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99514191462400 + 1816939547721 = 9975680^2 + 1347939^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101331131010121 is a prime.

It is a super-2 number, since 2×101331131010121² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101331131020121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50665565505060 + 50665565505061.

It is an arithmetic number, because the mean of its divisors is an integer number (50665565505061).

Almost surely, 2^{101331131010121} is an apocalyptic number.

It is an amenable number.

101331131010121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101331131010121 is an equidigital number, since it uses as much as digits as its factorization.

101331131010121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 101331131010121 its reverse (121010131133101), we get a palindrome (222341262143222).

The spelling of 101331131010121 in words is "one hundred one trillion, three hundred thirty-one billion, one hundred thirty-one million, ten thousand, one hundred twenty-one".