100101100111122 has 16 divisors (see below), whose sum is σ = 218402400242592. Its totient is φ = 30333666700320.

The previous prime is 100101100111073. The next prime is 100101100111267. The reversal of 100101100111122 is 221111001101001.

It is a junction number, because it is equal to n+sod(n) for n = 100101100111098 and 100101100111107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 758341667443 + ... + 758341667574.

It is an arithmetic number, because the mean of its divisors is an integer number (13650150015162).

Almost surely, 2^{100101100111122} is an apocalyptic number.

100101100111122 is an abundant number, since it is smaller than the sum of its proper divisors (118301300131470).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100101100111122 is a wasteful number, since it uses less digits than its factorization.

100101100111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516683335033.

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

Adding to 100101100111122 its reverse (221111001101001), we get a palindrome (321212101212123).

The spelling of 100101100111122 in words is "one hundred trillion, one hundred one billion, one hundred million, one hundred eleven thousand, one hundred twenty-two".