101000010011011 has 16 divisors (see below), whose sum is σ = 103268392141824. Its totient is φ = 98736632055424.

The previous prime is 101000010010987. The next prime is 101000010011027. The reversal of 101000010011011 is 110110010000101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101000010011011 - 2¹³ = 101000010002819 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000010010985 and 101000010011003.

It is not an unprimeable number, because it can be changed into a prime (101000010011311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350815026 + ... + 351102808.

It is an arithmetic number, because the mean of its divisors is an integer number (6454274508864).

Almost surely, 2^{101000010011011} is an apocalyptic number.

101000010011011 is a deficient number, since it is larger than the sum of its proper divisors (2268382130813).

101000010011011 is an equidigital number, since it uses as much as digits as its factorization.

101000010011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296450.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101000010011011 its reverse (110110010000101), we get a palindrome (211110020011112).

The spelling of 101000010011011 in words is "one hundred one trillion, ten million, eleven thousand, eleven".