101201310016 has 28 divisors (see below), whose sum is σ = 200831660820. Its totient is φ = 50598056960.

The previous prime is 101201309981. The next prime is 101201310071. The reversal of 101201310016 is 610013102101.

It can be written as a sum of positive squares in 2 ways, for example, as 88137734400 + 13063575616 = 296880^2 + 114296^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2051076 + ... + 2099836.

It is an arithmetic number, because the mean of its divisors is an integer number (7172559315).

Almost surely, 2^101201310016 is an apocalyptic number.

101201310016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101201310016 is a deficient number, since it is larger than the sum of its proper divisors (99630350804).

101201310016 is an equidigital number, since it uses as much as digits as its factorization.

101201310016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81202 (or 81192 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 101201310016 its reverse (610013102101), we get a palindrome (711214412117).

The spelling of 101201310016 in words is "one hundred one billion, two hundred one million, three hundred ten thousand, sixteen".