100201111121111 has 32 divisors (see below), whose sum is σ = 135726339667968. Its totient is φ = 71434915453440.

The previous prime is 100201111121107. The next prime is 100201111121129. The reversal of 100201111121111 is 111121111102001.

It is not a de Polignac number, because 100201111121111 - 2² = 100201111121107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201111121131) 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, 442811711 + ... + 443037936.

It is an arithmetic number, because the mean of its divisors is an integer number (4241448114624).

Almost surely, 2^{100201111121111} is an apocalyptic number.

100201111121111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100201111121111 is a deficient number, since it is larger than the sum of its proper divisors (35525228546857).

100201111121111 is a wasteful number, since it uses less digits than its factorization.

100201111121111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885849791.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 100201111121111 its reverse (111121111102001), we get a palindrome (211322222223112).

The spelling of 100201111121111 in words is "one hundred trillion, two hundred one billion, one hundred eleven million, one hundred twenty-one thousand, one hundred eleven".