101100001125 has 16 divisors (see below), whose sum is σ = 168230402496. Its totient is φ = 53920000400.

The previous prime is 101100001111. The next prime is 101100001151. The reversal of 101100001125 is 521100001101.

It is not a de Polignac number, because 101100001125 - 2¹³ = 101099992933 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101100001125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134799627 + ... + 134800376.

It is an arithmetic number, because the mean of its divisors is an integer number (10514400156).

Almost surely, 2^101100001125 is an apocalyptic number.

101100001125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101100001125 is a deficient number, since it is larger than the sum of its proper divisors (67130401371).

101100001125 is an equidigital number, since it uses as much as digits as its factorization.

101100001125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269600021 (or 269600011 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 12.

Adding to 101100001125 its reverse (521100001101), we get a palindrome (622200002226).

The spelling of 101100001125 in words is "one hundred one billion, one hundred million, one thousand, one hundred twenty-five".