10312000101 has 48 divisors (see below), whose sum is σ = 16178927856. Its totient is φ = 6291468288.

The previous prime is 10312000099. The next prime is 10312000121. The reversal of 10312000101 is 10100021301.

It can be written as a sum of positive squares in 8 ways, for example, as 2643876 + 10309356225 = 1626^2 + 101535^2 .

It is not a de Polignac number, because 10312000101 - 2¹ = 10312000099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312000121) 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, 13621815 + ... + 13622571.

It is an arithmetic number, because the mean of its divisors is an integer number (337060997).

Almost surely, 2^10312000101 is an apocalyptic number.

It is an amenable number.

10312000101 is a deficient number, since it is larger than the sum of its proper divisors (5866927755).

10312000101 is a wasteful number, since it uses less digits than its factorization.

10312000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10312000101 its reverse (10100021301), we get a palindrome (20412021402).

The spelling of 10312000101 in words is "ten billion, three hundred twelve million, one hundred one", and thus it is an aban number.