100211111100001 has 4 divisors (see below), whose sum is σ = 109321212109104. Its totient is φ = 91101010090900.

The previous prime is 100211111099993. The next prime is 100211111100013. The reversal of 100211111100001 is 100001111112001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100211111100001 - 2³ = 100211111099993 is a prime.

It is a super-3 number, since 3×100211111100001³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100211111100101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4555050504535 + ... + 4555050504556.

It is an arithmetic number, because the mean of its divisors is an integer number (27330303027276).

Almost surely, 2^{100211111100001} is an apocalyptic number.

100211111100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100211111100001 is a deficient number, since it is larger than the sum of its proper divisors (9110101009103).

100211111100001 is an equidigital number, since it uses as much as digits as its factorization.

100211111100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9110101009102.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 100211111100001 its reverse (100001111112001), we get a palindrome (200212222212002).

The spelling of 100211111100001 in words is "one hundred trillion, two hundred eleven billion, one hundred eleven million, one hundred thousand, one".