100112121000221 has 8 divisors (see below), whose sum is σ = 109256544329088. Its totient is φ = 90974917908000.

The previous prime is 100112121000211. The next prime is 100112121000271. The reversal of 100112121000221 is 122000121211001.

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-100112121000221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100112121000196 and 100112121000205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112121000211) 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, 1805030165 + ... + 1805085626.

It is an arithmetic number, because the mean of its divisors is an integer number (13657068041136).

Almost surely, 2^{100112121000221} is an apocalyptic number.

100112121000221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100112121000221 is a deficient number, since it is larger than the sum of its proper divisors (9144423328867).

100112121000221 is a wasteful number, since it uses less digits than its factorization.

100112121000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3610118323.

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

Adding to 100112121000221 its reverse (122000121211001), we get a palindrome (222112242211222).

The spelling of 100112121000221 in words is "one hundred trillion, one hundred twelve billion, one hundred twenty-one million, two hundred twenty-one", and thus it is an aban number.