101000010016 has 12 divisors (see below), whose sum is σ = 198843769782. Its totient is φ = 50500004992.

The previous prime is 101000009983. The next prime is 101000010017. The reversal of 101000010016 is 610010000101.

It can be written as a sum of positive squares in only one way, i.e., 100780851600 + 219158416 = 317460^2 + 14804^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101000009984 and 101000010011.

It is not an unprimeable number, because it can be changed into a prime (101000010017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1578125125 + ... + 1578125188.

Almost surely, 2^101000010016 is an apocalyptic number.

101000010016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101000010016 is a deficient number, since it is larger than the sum of its proper divisors (97843759766).

101000010016 is an equidigital number, since it uses as much as digits as its factorization.

101000010016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156250323 (or 3156250315 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 101000010016 its reverse (610010000101), we get a palindrome (711010010117).

The spelling of 101000010016 in words is "one hundred one billion, ten thousand, sixteen".