100112100001001 has 48 divisors (see below), whose sum is σ = 112034617820160. Its totient is φ = 89377678368000.

The previous prime is 100112100000973. The next prime is 100112100001019. The reversal of 100112100001001 is 100100001211001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-100112100001001 is a prime.

It is a super-2 number, since 2×100112100001001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100112100001001.

It is not an unprimeable number, because it can be changed into a prime (100112100001061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1846480445 + ... + 1846534661.

It is an arithmetic number, because the mean of its divisors is an integer number (2334054537920).

Almost surely, 2^{100112100001001} is an apocalyptic number.

100112100001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100112100001001 is a deficient number, since it is larger than the sum of its proper divisors (11922517819159).

100112100001001 is a wasteful number, since it uses less digits than its factorization.

100112100001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55566 (or 55555 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100112100001001 its reverse (100100001211001), we get a palindrome (200212101212002).

It can be divided in two parts, 10011210000 and 1001, that added together give a palindrome (10011211001).

The spelling of 100112100001001 in words is "one hundred trillion, one hundred twelve billion, one hundred million, one thousand, one".