101011122011 has 2 divisors, whose sum is σ = 101011122012. Its totient is φ = 101011122010.

The previous prime is 101011121993. The next prime is 101011122077. The reversal of 101011122011 is 110221110101.

It is a weak prime.

It is an emirp because it is prime and its reverse (110221110101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101011122011 - 2⁶ = 101011121947 is a prime.

It is a super-2 number, since 2×101011122011² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 101011121983 and 101011122001.

It is not a weakly prime, because it can be changed into another prime (101011128011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505561005 + 50505561006.

It is an arithmetic number, because the mean of its divisors is an integer number (50505561006).

Almost surely, 2^101011122011 is an apocalyptic number.

101011122011 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011122011 is an equidigital number, since it uses as much as digits as its factorization.

101011122011 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101011122011 its reverse (110221110101), we get a palindrome (211232232112).

The spelling of 101011122011 in words is "one hundred one billion, eleven million, one hundred twenty-two thousand, eleven".