100011222001101 has 16 divisors (see below), whose sum is σ = 133450922088320. Its totient is φ = 66622836234240.

The previous prime is 100011222001063. The next prime is 100011222001121. The reversal of 100011222001101 is 101100222110001.

It is not a de Polignac number, because 100011222001101 - 2¹⁴ = 100011221984717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011222001121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 607877616 + ... + 608042118.

It is an arithmetic number, because the mean of its divisors is an integer number (8340682630520).

Almost surely, 2^{100011222001101} is an apocalyptic number.

It is an amenable number.

100011222001101 is a deficient number, since it is larger than the sum of its proper divisors (33439700087219).

100011222001101 is a wasteful number, since it uses less digits than its factorization.

100011222001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319236.

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

Adding to 100011222001101 its reverse (101100222110001), we get a palindrome (201111444111102).

The spelling of 100011222001101 in words is "one hundred trillion, eleven billion, two hundred twenty-two million, one thousand, one hundred one".