101110112012011 has 8 divisors (see below), whose sum is σ = 102726898413264. Its totient is φ = 99496492677120.

The previous prime is 101110112011999. The next prime is 101110112012017. The reversal of 101110112012011 is 110210211011101.

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 101110112012011 - 2²⁵ = 101110078457579 is a prime.

It is a super-3 number, since 3×101110112012011³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101110112011982 and 101110112012000.

It is not an unprimeable number, because it can be changed into a prime (101110112012017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 791702230 + ... + 791829931.

It is an arithmetic number, because the mean of its divisors is an integer number (12840862301658).

Almost surely, 2^{101110112012011} is an apocalyptic number.

101110112012011 is a deficient number, since it is larger than the sum of its proper divisors (1616786401253).

101110112012011 is an equidigital number, since it uses as much as digits as its factorization.

101110112012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583533181.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101110112012011 its reverse (110210211011101), we get a palindrome (211320323023112).

The spelling of 101110112012011 in words is "one hundred one trillion, one hundred ten billion, one hundred twelve million, twelve thousand, eleven".