100011211110 has 112 divisors (see below), whose sum is σ = 270106392096. Its totient is φ = 26649938304.

The previous prime is 100011211093. The next prime is 100011211129. The reversal of 100011211110 is 11112110001.

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 = 100011211092 and 100011211101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11710762 + ... + 11719298.

Almost surely, 2^100011211110 is an apocalyptic number.

100011211110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100011211110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135053196048).

100011211110 is an abundant number, since it is smaller than the sum of its proper divisors (170095180986).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100011211110 is an equidigital number, since it uses as much as digits as its factorization.

100011211110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10169 (or 10154 counting only the distinct ones).

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

Adding to 100011211110 its reverse (11112110001), we get a palindrome (111123321111).

The spelling of 100011211110 in words is "one hundred billion, eleven million, two hundred eleven thousand, one hundred ten".