100101122101101 has 8 divisors (see below), whose sum is σ = 145601632147104. Its totient is φ = 60667346727920.

The previous prime is 100101122100953. The next prime is 100101122101103. The reversal of 100101122101101 is 101101221101001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100101122101101 - 2³³ = 100092532166509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101122101103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1516683668166 + ... + 1516683668231.

It is an arithmetic number, because the mean of its divisors is an integer number (18200204018388).

Almost surely, 2^{100101122101101} is an apocalyptic number.

100101122101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101122101101 is a deficient number, since it is larger than the sum of its proper divisors (45500510046003).

100101122101101 is a wasteful number, since it uses less digits than its factorization.

100101122101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3033367336411.

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

Adding to 100101122101101 its reverse (101101221101001), we get a palindrome (201202343202102).

The spelling of 100101122101101 in words is "one hundred trillion, one hundred one billion, one hundred twenty-two million, one hundred one thousand, one hundred one".