101100011012 has 96 divisors (see below), whose sum is σ = 239770782720. Its totient is φ = 36019681920.

The previous prime is 101100011011. The next prime is 101100011017. The reversal of 101100011012 is 210110001101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101100011011) 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 31 ways as a sum of consecutive naturals, for example, 310439 + ... + 546417.

It is an arithmetic number, because the mean of its divisors is an integer number (2497612320).

Almost surely, 2^101100011012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101100011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119885391360).

101100011012 is an abundant number, since it is smaller than the sum of its proper divisors (138670771708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101100011012 is a wasteful number, since it uses less digits than its factorization.

101100011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236121 (or 236119 counting only the distinct ones).

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

Adding to 101100011012 its reverse (210110001101), we get a palindrome (311210012113).

It can be divided in two parts, 10110001101 and 2, that multiplied together give a palindrome (20220002202).

The spelling of 101100011012 in words is "one hundred one billion, one hundred million, eleven thousand, twelve".