100112110112201 has 8 divisors (see below), whose sum is σ = 109301930145408. Its totient is φ = 90937076598000.

The previous prime is 100112110112171. The next prime is 100112110112233. The reversal of 100112110112201 is 102211011211001.

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 100112110112201 - 2⁴² = 95714063601097 is a prime.

It is a super-2 number, since 2×100112110112201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100112110112281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3696615590 + ... + 3696642671.

It is an arithmetic number, because the mean of its divisors is an integer number (13662741268176).

Almost surely, 2^{100112110112201} is an apocalyptic number.

100112110112201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100112110112201 is a deficient number, since it is larger than the sum of its proper divisors (9189820033207).

100112110112201 is a wasteful number, since it uses less digits than its factorization.

100112110112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7393259503.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100112110112201 its reverse (102211011211001), we get a palindrome (202323121323202).

The spelling of 100112110112201 in words is "one hundred trillion, one hundred twelve billion, one hundred ten million, one hundred twelve thousand, two hundred one".