100212011101 has 8 divisors (see below), whose sum is σ = 100508244984. Its totient is φ = 99915847680.

The previous prime is 100212011093. The next prime is 100212011129. The reversal of 100212011101 is 101110212001.

It can be written as a sum of positive squares in 4 ways, for example, as 8445426201 + 91766584900 = 91899^2 + 302930^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100212011101 - 2³ = 100212011093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212011131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4557205 + ... + 4579141.

It is an arithmetic number, because the mean of its divisors is an integer number (12563530623).

Almost surely, 2^100212011101 is an apocalyptic number.

It is an amenable number.

100212011101 is a deficient number, since it is larger than the sum of its proper divisors (296233883).

100212011101 is a wasteful number, since it uses less digits than its factorization.

100212011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35231.

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

Adding to 100212011101 its reverse (101110212001), we get a palindrome (201322223102).

Subtracting 100212011101 from its reverse (101110212001), we obtain a square (898200900 = 29970²).

The spelling of 100212011101 in words is "one hundred billion, two hundred twelve million, eleven thousand, one hundred one".