100112122112101 has 8 divisors (see below), whose sum is σ = 109213449456384. Its totient is φ = 91010832323520.

The previous prime is 100112122112083. The next prime is 100112122112137. The reversal of 100112122112101 is 101211221211001.

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 100112122112101 - 2³⁵ = 100077762373733 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112122118101) 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, 3663381 + ... + 14616586.

It is an arithmetic number, because the mean of its divisors is an integer number (13651681182048).

Almost surely, 2^{100112122112101} is an apocalyptic number.

100112122112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100112122112101 is a deficient number, since it is larger than the sum of its proper divisors (9101327344283).

100112122112101 is a wasteful number, since it uses less digits than its factorization.

100112122112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18777851.

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

Adding to 100112122112101 its reverse (101211221211001), we get a palindrome (201323343323102).

The spelling of 100112122112101 in words is "one hundred trillion, one hundred twelve billion, one hundred twenty-two million, one hundred twelve thousand, one hundred one".