100211112111001 has 4 divisors (see below), whose sum is σ = 101337079662900. Its totient is φ = 99085144559104.

The previous prime is 100211112110951. The next prime is 100211112111023. The reversal of 100211112111001 is 100111211112001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 54631330472601 + 45579781638400 = 7391301^2 + 6751280^2 .

It is a cyclic number.

It is not a de Polignac number, because 100211112111001 - 2²¹ = 100211110013849 is a prime.

It is a super-2 number, since 2×100211112111001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100211112111301) 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, 562983775816 + ... + 562983775993.

It is an arithmetic number, because the mean of its divisors is an integer number (25334269915725).

Almost surely, 2^{100211112111001} is an apocalyptic number.

It is an amenable number.

100211112111001 is a deficient number, since it is larger than the sum of its proper divisors (1125967551899).

100211112111001 is an equidigital number, since it uses as much as digits as its factorization.

100211112111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125967551898.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 100211112111001 its reverse (100111211112001), we get a palindrome (200322323223002).

The spelling of 100211112111001 in words is "one hundred trillion, two hundred eleven billion, one hundred twelve million, one hundred eleven thousand, one".