101011003233121 has 2 divisors, whose sum is σ = 101011003233122. Its totient is φ = 101011003233120.

The previous prime is 101011003233113. The next prime is 101011003233139. The reversal of 101011003233121 is 121332300110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50807599923025 + 50203403310096 = 7127945^2 + 7085436^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011003233121 - 2³ = 101011003233113 is a prime.

It is a super-2 number, since 2×101011003233121² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101011003293121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505501616560 + 50505501616561.

It is an arithmetic number, because the mean of its divisors is an integer number (50505501616561).

Almost surely, 2^{101011003233121} is an apocalyptic number.

It is an amenable number.

101011003233121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011003233121 is an equidigital number, since it uses as much as digits as its factorization.

101011003233121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 101011003233121 its reverse (121332300110101), we get a palindrome (222343303343222).

The spelling of 101011003233121 in words is "one hundred one trillion, eleven billion, three million, two hundred thirty-three thousand, one hundred twenty-one".