100201111323311 has 32 divisors (see below), whose sum is σ = 104187824353536. Its totient is φ = 96297984000000.

The previous prime is 100201111323169. The next prime is 100201111323329. The reversal of 100201111323311 is 113323111102001.

It is a cyclic number.

It is not a de Polignac number, because 100201111323311 - 2²² = 100201107129007 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 (100201111323371) 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, 1113288311 + ... + 1113378311.

It is an arithmetic number, because the mean of its divisors is an integer number (3255869511048).

Almost surely, 2^{100201111323311} is an apocalyptic number.

100201111323311 is a deficient number, since it is larger than the sum of its proper divisors (3986713030225).

100201111323311 is a wasteful number, since it uses less digits than its factorization.

100201111323311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91443.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 100201111323311 its reverse (113323111102001), we get a palindrome (213524222425312).

The spelling of 100201111323311 in words is "one hundred trillion, two hundred one billion, one hundred eleven million, three hundred twenty-three thousand, three hundred eleven".