10100100112 has 40 divisors (see below), whose sum is σ = 20726878752. Its totient is φ = 4751424000.

The previous prime is 10100100079. The next prime is 10100100133. The reversal of 10100100112 is 21100100101.

It is a junction number, because it is equal to n+sod(n) for n = 10100100095 and 10100100104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1533787 + ... + 1540357.

Almost surely, 2^10100100112 is an apocalyptic number.

It is an amenable number.

10100100112 is an abundant number, since it is smaller than the sum of its proper divisors (10626778640).

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

10100100112 is a wasteful number, since it uses less digits than its factorization.

10100100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12247 (or 12241 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10100100112 its reverse (21100100101), we get a palindrome (31200200213).

The spelling of 10100100112 in words is "ten billion, one hundred million, one hundred thousand, one hundred twelve".