100101012011 has 48 divisors (see below), whose sum is σ = 135577493184. Its totient is φ = 71916768000.

The previous prime is 100101012001. The next prime is 100101012013. The reversal of 100101012011 is 110210101001.

It is a happy number.

It is not a de Polignac number, because 100101012011 - 2¹⁴ = 100100995627 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100101012011.

It is not an unprimeable number, because it can be changed into a prime (100101012013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10356521 + ... + 10366181.

It is an arithmetic number, because the mean of its divisors is an integer number (2824531108).

Almost surely, 2^100101012011 is an apocalyptic number.

100101012011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100101012011 is a deficient number, since it is larger than the sum of its proper divisors (35476481173).

100101012011 is a wasteful number, since it uses less digits than its factorization.

100101012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10644 (or 10633 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100101012011 its reverse (110210101001), we get a palindrome (210311113012).

The spelling of 100101012011 in words is "one hundred billion, one hundred one million, twelve thousand, eleven".