100111121011 has 16 divisors (see below), whose sum is σ = 115190640000. Its totient is φ = 86047228800.

The previous prime is 100111120957. The next prime is 100111121027. The reversal of 100111121011 is 110121111001.

It is a cyclic number.

It is not a de Polignac number, because 100111121011 - 2⁷ = 100111120883 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111121911) 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, 375670 + ... + 584251.

It is an arithmetic number, because the mean of its divisors is an integer number (7199415000).

Almost surely, 2^100111121011 is an apocalyptic number.

100111121011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100111121011 is a deficient number, since it is larger than the sum of its proper divisors (15079518989).

100111121011 is a wasteful number, since it uses less digits than its factorization.

100111121011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960450.

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

Adding to 100111121011 its reverse (110121111001), we get a palindrome (210232232012).

It can be divided in two parts, 100111 and 121011, that added together give a palindrome (221122).

The spelling of 100111121011 in words is "one hundred billion, one hundred eleven million, one hundred twenty-one thousand, eleven".