101012020121011 has 2 divisors, whose sum is σ = 101012020121012. Its totient is φ = 101012020121010.

The previous prime is 101012020120981. The next prime is 101012020121017. The reversal of 101012020121011 is 110121020210101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101012020121011 - 2⁷ = 101012020120883 is a prime.

It is a super-2 number, since 2×101012020121011² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101012020120982 and 101012020121000.

It is not a weakly prime, because it can be changed into another prime (101012020121017) 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, 50506010060505 + 50506010060506.

It is an arithmetic number, because the mean of its divisors is an integer number (50506010060506).

Almost surely, 2^{101012020121011} is an apocalyptic number.

101012020121011 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012020121011 is an equidigital number, since it uses as much as digits as its factorization.

101012020121011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101012020121011 its reverse (110121020210101), we get a palindrome (211133040331112).

The spelling of 101012020121011 in words is "one hundred one trillion, twelve billion, twenty million, one hundred twenty-one thousand, eleven".