100111011201 has 12 divisors (see below), whose sum is σ = 144654405012. Its totient is φ = 66717776736.

The previous prime is 100111011197. The next prime is 100111011223. The reversal of 100111011201 is 102110111001.

It can be written as a sum of positive squares in 2 ways, for example, as 69696000000 + 30415011201 = 264000^2 + 174399^2 .

It is not a de Polignac number, because 100111011201 - 2² = 100111011197 is a prime.

It is a super-3 number, since 3×100111011201³ (a number of 34 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (100111011271) 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, 1880406 + ... + 1932911.

It is an arithmetic number, because the mean of its divisors is an integer number (12054533751).

Almost surely, 2^100111011201 is an apocalyptic number.

It is an amenable number.

100111011201 is a deficient number, since it is larger than the sum of its proper divisors (44543393811).

100111011201 is a wasteful number, since it uses less digits than its factorization.

100111011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3816240 (or 3816237 counting only the distinct ones).

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

Adding to 100111011201 its reverse (102110111001), we get a palindrome (202221122202).

The spelling of 100111011201 in words is "one hundred billion, one hundred eleven million, eleven thousand, two hundred one".