10100101112 has 16 divisors (see below), whose sum is σ = 18939417840. Its totient is φ = 5049589696.

The previous prime is 10100101069. The next prime is 10100101117. The reversal of 10100101112 is 21110100101.

It is a happy number.

10100101112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10100101112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100101117) 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 3 ways as a sum of consecutive naturals, for example, 46628 + ... + 149580.

It is an arithmetic number, because the mean of its divisors is an integer number (1183713615).

Almost surely, 2^10100101112 is an apocalyptic number.

It is an amenable number.

10100101112 is a deficient number, since it is larger than the sum of its proper divisors (8839316728).

10100101112 is a wasteful number, since it uses less digits than its factorization.

10100101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115222 (or 115218 counting only the distinct ones).

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

Adding to 10100101112 its reverse (21110100101), we get a palindrome (31210201213).

The spelling of 10100101112 in words is "ten billion, one hundred million, one hundred one thousand, one hundred twelve".