100112012002111 has 8 divisors (see below), whose sum is σ = 105381244306800. Its totient is φ = 94842797601600.

The previous prime is 100112012002097. The next prime is 100112012002117. The reversal of 100112012002111 is 111200210211001.

It is a happy number.

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 100112012002111 - 2³¹ = 100109864518463 is a prime.

It is a super-3 number, since 3×100112012002111³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100112012002091 and 100112012002100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112012002117) 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, 7875285 + ... + 16193953.

It is an arithmetic number, because the mean of its divisors is an integer number (13172655538350).

Almost surely, 2^{100112012002111} is an apocalyptic number.

100112012002111 is a deficient number, since it is larger than the sum of its proper divisors (5269232304689).

100112012002111 is an equidigital number, since it uses as much as digits as its factorization.

100112012002111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8952089.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100112012002111 its reverse (111200210211001), we get a palindrome (211312222213112).

The spelling of 100112012002111 in words is "one hundred trillion, one hundred twelve billion, twelve million, two thousand, one hundred eleven".