100112102212001 has 8 divisors (see below), whose sum is σ = 109227025214208. Its totient is φ = 90999483010000.

The previous prime is 100112102211991. The next prime is 100112102212007. The reversal of 100112102212001 is 100212201211001.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100112102212001 is a prime.

It is a super-2 number, since 2×100112102212001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100112102212007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 575859185 + ... + 576033006.

It is an arithmetic number, because the mean of its divisors is an integer number (13653378151776).

Almost surely, 2^{100112102212001} is an apocalyptic number.

100112102212001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100112102212001 is a deficient number, since it is larger than the sum of its proper divisors (9114923002207).

100112102212001 is a wasteful number, since it uses less digits than its factorization.

100112102212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151900103.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100112102212001 its reverse (100212201211001), we get a palindrome (200324303423002).

It can be divided in two parts, 10011 and 2102212001, that added together give a palindrome (2102222012).

The spelling of 100112102212001 in words is "one hundred trillion, one hundred twelve billion, one hundred two million, two hundred twelve thousand, one".