101012121011 has 2 divisors, whose sum is σ = 101012121012. Its totient is φ = 101012121010.

The previous prime is 101012120987. The next prime is 101012121017. The reversal of 101012121011 is 110121210101.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101012121011 is a prime.

It is a super-2 number, since 2×101012121011² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101012120983 and 101012121001.

It is not a weakly prime, because it can be changed into another prime (101012121017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506060505 + 50506060506.

It is an arithmetic number, because the mean of its divisors is an integer number (50506060506).

Almost surely, 2^101012121011 is an apocalyptic number.

101012121011 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012121011 is an equidigital number, since it uses as much as digits as its factorization.

101012121011 is an odious number, because the sum of its binary digits is odd.

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

Adding to 101012121011 its reverse (110121210101), we get a palindrome (211133331112).

The spelling of 101012121011 in words is "one hundred one billion, twelve million, one hundred twenty-one thousand, eleven".