101001211011011 has 8 divisors (see below), whose sum is σ = 101079083589264. Its totient is φ = 100923352120800.

The previous prime is 101001211010963. The next prime is 101001211011059. The reversal of 101001211011011 is 110110112100101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101001211010963) and next prime (101001211011059).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101001211011011 - 2¹⁰ = 101001211009987 is a prime.

It is a super-4 number, since 4×101001211011011⁴ (a number of 57 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101001211010983 and 101001211011001.

It is not an unprimeable number, because it can be changed into a prime (101001211019011) 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 in 7 ways as a sum of consecutive naturals, for example, 11365880 + ... + 18198506.

It is an arithmetic number, because the mean of its divisors is an integer number (12634885448658).

Almost surely, 2^{101001211011011} is an apocalyptic number.

101001211011011 is a deficient number, since it is larger than the sum of its proper divisors (77872578253).

101001211011011 is an equidigital number, since it uses as much as digits as its factorization.

101001211011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6844021.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101001211011011 its reverse (110110112100101), we get a palindrome (211111323111112).

The spelling of 101001211011011 in words is "one hundred one trillion, one billion, two hundred eleven million, eleven thousand, eleven".