100100212011 has 12 divisors (see below), whose sum is σ = 146625663600. Its totient is φ = 65793566160.

The previous prime is 100100211997. The next prime is 100100212027. The reversal of 100100212011 is 110212001001.

It is a happy number.

It is not a de Polignac number, because 100100212011 - 2⁵ = 100100211979 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 = 100100211984 and 100100212002.

It is not an unprimeable number, because it can be changed into a prime (100100212811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78325036 + ... + 78326313.

It is an arithmetic number, because the mean of its divisors is an integer number (12218805300).

Almost surely, 2^100100212011 is an apocalyptic number.

100100212011 is a deficient number, since it is larger than the sum of its proper divisors (46525451589).

100100212011 is a wasteful number, since it uses less digits than its factorization.

100100212011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156651426 (or 156651423 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100100212011 its reverse (110212001001), we get a palindrome (210312213012).

The spelling of 100100212011 in words is "one hundred billion, one hundred million, two hundred twelve thousand, eleven".