10100111001010 has 64 divisors (see below), whose sum is σ = 19914309756000. Its totient is φ = 3671110582272.

The previous prime is 10100111000977. The next prime is 10100111001011. The reversal of 10100111001010 is 1010011100101.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 2612176785729 + 7487934215281 = 1616223^2 + 2736409^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10100111000984 and 10100111001002.

It is not an unprimeable number, because it can be changed into a prime (10100111001011) 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 31 ways as a sum of consecutive naturals, for example, 174734674 + ... + 174792466.

Almost surely, 2^{10100111001010} is an apocalyptic number.

10100111001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100111001010 is a deficient number, since it is larger than the sum of its proper divisors (9814198754990).

10100111001010 is a wasteful number, since it uses less digits than its factorization.

10100111001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93295.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10100111001010 its reverse (1010011100101), we get a palindrome (11110122101111).

Subtracting from 10100111001010 its reverse (1010011100101), we obtain a palindrome (9090099900909).

The spelling of 10100111001010 in words is "ten trillion, one hundred billion, one hundred eleven million, one thousand, ten".