100011211101 has 12 divisors (see below), whose sum is σ = 144463385820. Its totient is φ = 66672872640.

The previous prime is 100011211093. The next prime is 100011211129. The reversal of 100011211101 is 101112110001.

It can be written as a sum of positive squares in 2 ways, for example, as 20896148025 + 79115063076 = 144555^2 + 281274^2 .

It is not a de Polignac number, because 100011211101 - 2³ = 100011211093 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011211171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 827881 + ... + 940961.

It is an arithmetic number, because the mean of its divisors is an integer number (12038615485).

Almost surely, 2^100011211101 is an apocalyptic number.

It is an amenable number.

100011211101 is a deficient number, since it is larger than the sum of its proper divisors (44452174719).

100011211101 is a wasteful number, since it uses less digits than its factorization.

100011211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211356 (or 211353 counting only the distinct ones).

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

Adding to 100011211101 its reverse (101112110001), we get a palindrome (201123321102).

The spelling of 100011211101 in words is "one hundred billion, eleven million, two hundred eleven thousand, one hundred one".