101000000110010 has 8 divisors (see below), whose sum is σ = 181800000198036. Its totient is φ = 40400000044000.

The previous prime is 101000000109997. The next prime is 101000000110081. The reversal of 101000000110010 is 10011000000101.

It can be written as a sum of positive squares in 2 ways, for example, as 93599026766281 + 7400973343729 = 9674659^2 + 2720473^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

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 = 101000000109976 and 101000000110003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5050000005491 + ... + 5050000005510.

Almost surely, 2^{101000000110010} is an apocalyptic number.

101000000110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101000000110010 is a deficient number, since it is larger than the sum of its proper divisors (80800000088026).

101000000110010 is a wasteful number, since it uses less digits than its factorization.

101000000110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10100000011008.

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

Adding to 101000000110010 its reverse (10011000000101), we get a palindrome (111011000110111).

The spelling of 101000000110010 in words is "one hundred one trillion, one hundred ten thousand, ten".