10010611005126 has 16 divisors (see below), whose sum is σ = 20052166719744. Its totient is φ = 3331712883464.

The previous prime is 10010611005071. The next prime is 10010611005127. The reversal of 10010611005126 is 62150011601001.

It is a junction number, because it is equal to n+sod(n) for n = 10010611005096 and 10010611005105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010611005127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1289358690 + ... + 1289366453.

It is an arithmetic number, because the mean of its divisors is an integer number (1253260419984).

Almost surely, 2^{10010611005126} is an apocalyptic number.

10010611005126 is an abundant number, since it is smaller than the sum of its proper divisors (10041555714618).

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

10010611005126 is a wasteful number, since it uses less digits than its factorization.

10010611005126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578725795.

The product of its (nonzero) digits is 360, while the sum is 24.

Adding to 10010611005126 its reverse (62150011601001), we get a palindrome (72160622606127).

The spelling of 10010611005126 in words is "ten trillion, ten billion, six hundred eleven million, five thousand, one hundred twenty-six".