101112211101011 has 16 divisors (see below), whose sum is σ = 111655687573248. Its totient is φ = 90798473383200.

The previous prime is 101112211100987. The next prime is 101112211101023. The reversal of 101112211101011 is 110101112211101.

It is not a de Polignac number, because 101112211101011 - 2¹⁰ = 101112211099987 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101112211104011) 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, 111946805 + ... + 112846406.

It is an arithmetic number, because the mean of its divisors is an integer number (6978480473328).

Almost surely, 2^{101112211101011} is an apocalyptic number.

101112211101011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101112211101011 is a deficient number, since it is larger than the sum of its proper divisors (10543476472237).

101112211101011 is a wasteful number, since it uses less digits than its factorization.

101112211101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224793722.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 101112211101011 its reverse (110101112211101), we get a palindrome (211213323312112).

It can be divided in two parts, 10111 and 2211101011, that added together give a palindrome (2211111122).

The spelling of 101112211101011 in words is "one hundred one trillion, one hundred twelve billion, two hundred eleven million, one hundred one thousand, eleven".