101000010001010 has 16 divisors (see below), whose sum is σ = 181800569137176. Its totient is φ = 40399881525888.

The previous prime is 101000010001001. The next prime is 101000010001027. The reversal of 101000010001010 is 10100010000101.

It can be written as a sum of positive squares in 4 ways, for example, as 57890687439649 + 43109322561361 = 7608593^2 + 6565769^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 101000010000985 and 101000010001003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11807597 + ... + 18477536.

Almost surely, 2^{101000010001010} is an apocalyptic number.

101000010001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101000010001010 is a deficient number, since it is larger than the sum of its proper divisors (80800559136166).

101000010001010 is a wasteful number, since it uses less digits than its factorization.

101000010001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30618637.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 101000010001010 its reverse (10100010000101), we get a palindrome (111100020001111).

Subtracting from 101000010001010 its reverse (10100010000101), we obtain a palindrome (90900000000909).

The spelling of 101000010001010 in words is "one hundred one trillion, ten million, one thousand, ten".