10100010011024 has 10 divisors (see below), whose sum is σ = 19568769396390. Its totient is φ = 5050005005504.

The previous prime is 10100010011023. The next prime is 10100010011057. The reversal of 10100010011024 is 42011001000101.

It can be written as a sum of positive squares in only one way, i.e., 9479822260624 + 620187750400 = 3078932^2 + 787520^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10100010010996 and 10100010011014.

It is not an unprimeable number, because it can be changed into a prime (10100010011023) by changing a digit.

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 as a sum of consecutive naturals, namely, 315625312829 + ... + 315625312860.

It is an arithmetic number, because the mean of its divisors is an integer number (1956876939639).

Almost surely, 2^{10100010011024} is an apocalyptic number.

It is an amenable number.

10100010011024 is a deficient number, since it is larger than the sum of its proper divisors (9468759385366).

10100010011024 is an equidigital number, since it uses as much as digits as its factorization.

10100010011024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631250625697 (or 631250625691 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10100010011024 its reverse (42011001000101), we get a palindrome (52111011011125).

The spelling of 10100010011024 in words is "ten trillion, one hundred billion, ten million, eleven thousand, twenty-four".