100111022011 has 32 divisors (see below), whose sum is σ = 134536002048. Its totient is φ = 71942999040.

The previous prime is 100111022009. The next prime is 100111022027. The reversal of 100111022011 is 110220111001.

It is not a de Polignac number, because 100111022011 - 2¹ = 100111022009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100111022041) 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, 1079595 + ... + 1168651.

It is an arithmetic number, because the mean of its divisors is an integer number (4204250064).

Almost surely, 2^100111022011 is an apocalyptic number.

100111022011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100111022011 is a deficient number, since it is larger than the sum of its proper divisors (34424980037).

100111022011 is a wasteful number, since it uses less digits than its factorization.

100111022011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90211.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100111022011 its reverse (110220111001), we get a palindrome (210331133012).

It can be divided in two parts, 1001 and 11022011, that multiplied together give a palindrome (11033033011).

The spelling of 100111022011 in words is "one hundred billion, one hundred eleven million, twenty-two thousand, eleven".