101102112122011 has 16 divisors (see below), whose sum is σ = 135745493200128. Its totient is φ = 72720799927200.

The previous prime is 101102112121993. The next prime is 101102112122047. The reversal of 101102112122011 is 110221211201101.

It is a cyclic number.

It is not a de Polignac number, because 101102112122011 - 2⁷ = 101102112121883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101102112122311) 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 15 ways as a sum of consecutive naturals, for example, 50500554505 + ... + 50500556506.

It is an arithmetic number, because the mean of its divisors is an integer number (8484093325008).

Almost surely, 2^{101102112122011} is an apocalyptic number.

101102112122011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101102112122011 is a deficient number, since it is larger than the sum of its proper divisors (34643381078117).

101102112122011 is a wasteful number, since it uses less digits than its factorization.

101102112122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101001111042.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 101102112122011 its reverse (110221211201101), we get a palindrome (211323323323112).

The spelling of 101102112122011 in words is "one hundred one trillion, one hundred two billion, one hundred twelve million, one hundred twenty-two thousand, eleven".