100101102111 has 6 divisors (see below), whose sum is σ = 144590480840. Its totient is φ = 66734068068.

The previous prime is 100101102097. The next prime is 100101102131. The reversal of 100101102111 is 111201101001.

It is not a de Polignac number, because 100101102111 - 2⁷ = 100101101983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11122344679 = 100101102111 / (1 + 0 + 0 + 1 + 0 + 1 + 1 + 0 + 2 + 1 + 1 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100101102093 and 100101102102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101102131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5561172331 + ... + 5561172348.

Almost surely, 2^100101102111 is an apocalyptic number.

100101102111 is a deficient number, since it is larger than the sum of its proper divisors (44489378729).

100101102111 is a wasteful number, since it uses less digits than its factorization.

100101102111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11122344685 (or 11122344682 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100101102111 its reverse (111201101001), we get a palindrome (211302203112).

The spelling of 100101102111 in words is "one hundred billion, one hundred one million, one hundred two thousand, one hundred eleven".