101022016 has 14 divisors (see below), whose sum is σ = 200465690. Its totient is φ = 50510976.

The previous prime is 101021981. The next prime is 101022059. The reversal of 101022016 is 610220101.

It can be written as a sum of positive squares in only one way, i.e., 75620416 + 25401600 = 8696^2 + 5040^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101021987 and 101022005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 789171 + ... + 789298.

Almost surely, 2^101022016 is an apocalyptic number.

101022016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101022016 is a deficient number, since it is larger than the sum of its proper divisors (99443674).

101022016 is an equidigital number, since it uses as much as digits as its factorization.

101022016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578481 (or 1578471 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 101022016 is about 10050.9708983759. The cubic root of 101022016 is about 465.7347861838.

Adding to 101022016 its reverse (610220101), we get a palindrome (711242117).

The spelling of 101022016 in words is "one hundred one million, twenty-two thousand, sixteen".