100110101101122 has 96 divisors (see below), whose sum is σ = 233163858904704. Its totient is φ = 28571620492800.

The previous prime is 100110101101099. The next prime is 100110101101159. The reversal of 100110101101122 is 221101101011001.

100110101101122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100110101101098 and 100110101101107.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4151694538 + ... + 4151718650.

It is an arithmetic number, because the mean of its divisors is an integer number (2428790196924).

Almost surely, 2^{100110101101122} is an apocalyptic number.

100110101101122 is an abundant number, since it is smaller than the sum of its proper divisors (133053757803582).

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

100110101101122 is a wasteful number, since it uses less digits than its factorization.

100110101101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38984 (or 38977 counting only the distinct ones).

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

Adding to 100110101101122 its reverse (221101101011001), we get a palindrome (321211202112123).

The spelling of 100110101101122 in words is "one hundred trillion, one hundred ten billion, one hundred one million, one hundred one thousand, one hundred twenty-two".