100111021110001 has 16 divisors (see below), whose sum is σ = 110756229158016. Its totient is φ = 89723319840000.

The previous prime is 100111021109999. The next prime is 100111021110071. The reversal of 100111021110001 is 100011120111001.

It is not a de Polignac number, because 100111021110001 - 2¹ = 100111021109999 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100111021110001.

It is not an unprimeable number, because it can be changed into a prime (100111021110071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10965691 + ... + 17901631.

It is an arithmetic number, because the mean of its divisors is an integer number (6922264322376).

Almost surely, 2^{100111021110001} is an apocalyptic number.

100111021110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111021110001 is a deficient number, since it is larger than the sum of its proper divisors (10645208048015).

100111021110001 is a wasteful number, since it uses less digits than its factorization.

100111021110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6954504.

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

Adding to 100111021110001 its reverse (100011120111001), we get a palindrome (200122141221002).

The spelling of 100111021110001 in words is "one hundred trillion, one hundred eleven billion, twenty-one million, one hundred ten thousand, one".