100011110112201 has 32 divisors (see below), whose sum is σ = 135489920375808. Its totient is φ = 65605428504000.

The previous prime is 100011110112163. The next prime is 100011110112257. The reversal of 100011110112201 is 102211011110001.

It is not a de Polignac number, because 100011110112201 - 2⁷ = 100011110112073 is a prime.

It is a super-3 number, since 3×100011110112201³ (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100011110112271) 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, 2597604451 + ... + 2597642951.

It is an arithmetic number, because the mean of its divisors is an integer number (4234060011744).

Almost surely, 2^{100011110112201} is an apocalyptic number.

It is an amenable number.

100011110112201 is a deficient number, since it is larger than the sum of its proper divisors (35478810263607).

100011110112201 is a wasteful number, since it uses less digits than its factorization.

100011110112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52701.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100011110112201 its reverse (102211011110001), we get a palindrome (202222121222202).

The spelling of 100011110112201 in words is "one hundred trillion, eleven billion, one hundred ten million, one hundred twelve thousand, two hundred one".