10010001076 has 24 divisors (see below), whose sum is σ = 17594525480. Its totient is φ = 4983023232.

The previous prime is 10010001073. The next prime is 10010001077. The reversal of 10010001076 is 67010001001.

10010001076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 65124900 + 9944876176 = 8070^2 + 99724^2 .

It is a super-4 number, since 4×10010001076⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010001073) 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 7 ways as a sum of consecutive naturals, for example, 1846546 + ... + 1851958.

Almost surely, 2^10010001076 is an apocalyptic number.

It is an amenable number.

10010001076 is a deficient number, since it is larger than the sum of its proper divisors (7584524404).

10010001076 is a wasteful number, since it uses less digits than its factorization.

10010001076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7363 (or 7361 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 16.

Adding to 10010001076 its reverse (67010001001), we get a palindrome (77020002077).

The spelling of 10010001076 in words is "ten billion, ten million, one thousand, seventy-six".