100002221101101 has 32 divisors (see below), whose sum is σ = 146963454865920. Its totient is φ = 59980575752000.

The previous prime is 100002221101099. The next prime is 100002221101141. The reversal of 100002221101101 is 101101122200001.

It is a cyclic number.

It is not a de Polignac number, because 100002221101101 - 2¹ = 100002221101099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002221101141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 787630 + ... + 14164208.

It is an arithmetic number, because the mean of its divisors is an integer number (4592607964560).

Almost surely, 2^{100002221101101} is an apocalyptic number.

100002221101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100002221101101 is a deficient number, since it is larger than the sum of its proper divisors (46961233764819).

100002221101101 is a wasteful number, since it uses less digits than its factorization.

100002221101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13378937.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100002221101101 its reverse (101101122200001), we get a palindrome (201103343301102).

The spelling of 100002221101101 in words is "one hundred trillion, two billion, two hundred twenty-one million, one hundred one thousand, one hundred one".