100100011102011 has 16 divisors (see below), whose sum is σ = 153409978701600. Its totient is φ = 64432191053664.

The previous prime is 100100011101967. The next prime is 100100011102019. The reversal of 100100011102011 is 110201110001001.

It is not a de Polignac number, because 100100011102011 - 2¹⁸ = 100100010839867 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100100011101984 and 100100011102002.

It is not an unprimeable number, because it can be changed into a prime (100100011102019) 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, 63920823676 + ... + 63920825241.

It is an arithmetic number, because the mean of its divisors is an integer number (9588123668850).

Almost surely, 2^{100100011102011} is an apocalyptic number.

100100011102011 is a deficient number, since it is larger than the sum of its proper divisors (53309967599589).

100100011102011 is a wasteful number, since it uses less digits than its factorization.

100100011102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127841648955 (or 127841648949 counting only the distinct ones).

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

Adding to 100100011102011 its reverse (110201110001001), we get a palindrome (210301121103012).

The spelling of 100100011102011 in words is "one hundred trillion, one hundred billion, eleven million, one hundred two thousand, eleven".