101011344121 has 2 divisors, whose sum is σ = 101011344122. Its totient is φ = 101011344120.

The previous prime is 101011344029. The next prime is 101011344143. The reversal of 101011344121 is 121443110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53993493225 + 47017850896 = 232365^2 + 216836^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011344121 - 2¹¹ = 101011342073 is a prime.

It is a super-2 number, since 2×101011344121² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101011344191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505672060 + 50505672061.

It is an arithmetic number, because the mean of its divisors is an integer number (50505672061).

Almost surely, 2^101011344121 is an apocalyptic number.

It is an amenable number.

101011344121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011344121 is an equidigital number, since it uses as much as digits as its factorization.

101011344121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 101011344121 its reverse (121443110101), we get a palindrome (222454454222).

The spelling of 101011344121 in words is "one hundred one billion, eleven million, three hundred forty-four thousand, one hundred twenty-one".