100001111020111 has 16 divisors (see below), whose sum is σ = 115187623280640. Its totient is φ = 85039767267840.

The previous prime is 100001111020093. The next prime is 100001111020147. The reversal of 100001111020111 is 111020111100001.

It is not a de Polignac number, because 100001111020111 - 2¹⁵ = 100001110987343 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 (100001171020111) 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, 200201391 + ... + 200700271.

It is an arithmetic number, because the mean of its divisors is an integer number (7199226455040).

Almost surely, 2^{100001111020111} is an apocalyptic number.

100001111020111 is a deficient number, since it is larger than the sum of its proper divisors (15186512260529).

100001111020111 is a wasteful number, since it uses less digits than its factorization.

100001111020111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724494.

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

Adding to 100001111020111 its reverse (111020111100001), we get a palindrome (211021222120112).

It can be divided in two parts, 100001 and 111020111, that multiplied together give a palindrome (11102122120111).

The spelling of 100001111020111 in words is "one hundred trillion, one billion, one hundred eleven million, twenty thousand, one hundred eleven".