101101112200011 has 32 divisors (see below), whose sum is σ = 168078008844288. Its totient is φ = 52515738807840.

The previous prime is 101101112199949. The next prime is 101101112200063. The reversal of 101101112200011 is 110002211101101.

It is not a de Polignac number, because 101101112200011 - 2¹³ = 101101112191819 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101101112200011.

It is not an unprimeable number, because it can be changed into a prime (101101112200811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15182091 + ... + 20801396.

It is an arithmetic number, because the mean of its divisors is an integer number (5252437776384).

Almost surely, 2^{101101112200011} is an apocalyptic number.

101101112200011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101101112200011 is a deficient number, since it is larger than the sum of its proper divisors (66976896644277).

101101112200011 is a wasteful number, since it uses less digits than its factorization.

101101112200011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35995671.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101101112200011 its reverse (110002211101101), we get a palindrome (211103323301112).

The spelling of 101101112200011 in words is "one hundred one trillion, one hundred one billion, one hundred twelve million, two hundred thousand, eleven".