101010031121 has 2 divisors, whose sum is σ = 101010031122. Its totient is φ = 101010031120.

The previous prime is 101010031091. The next prime is 101010031123. The reversal of 101010031121 is 121130010101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89745180625 + 11264850496 = 299575^2 + 106136^2 .

It is an emirp because it is prime and its reverse (121130010101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101010031121 - 2²² = 101005836817 is a prime.

Together with 101010031123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101010031123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505015560 + 50505015561.

It is an arithmetic number, because the mean of its divisors is an integer number (50505015561).

Almost surely, 2^101010031121 is an apocalyptic number.

It is an amenable number.

101010031121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010031121 is an equidigital number, since it uses as much as digits as its factorization.

101010031121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 101010031121 its reverse (121130010101), we get a palindrome (222140041222).

The spelling of 101010031121 in words is "one hundred one billion, ten million, thirty-one thousand, one hundred twenty-one".