100111121211001 has 4 divisors (see below), whose sum is σ = 101046739166352. Its totient is φ = 99175503255652.

The previous prime is 100111121210977. The next prime is 100111121211029. The reversal of 100111121211001 is 100112121111001.

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 100111121211001 - 2²³ = 100111112822393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111121211071) 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, 467808977515 + ... + 467808977728.

It is an arithmetic number, because the mean of its divisors is an integer number (25261684791588).

Almost surely, 2^{100111121211001} is an apocalyptic number.

It is an amenable number.

100111121211001 is a deficient number, since it is larger than the sum of its proper divisors (935617955351).

100111121211001 is an equidigital number, since it uses as much as digits as its factorization.

100111121211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935617955350.

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

Adding to 100111121211001 its reverse (100112121111001), we get a palindrome (200223242322002).

The spelling of 100111121211001 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty-one million, two hundred eleven thousand, one".