20101016 has 32 divisors (see below), whose sum is σ = 40778640. Its totient is φ = 9234048.

The previous prime is 20101013. The next prime is 20101073. The reversal of 20101016 is 61010102.

It is a junction number, because it is equal to n+sod(n) for n = 20100988 and 20101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101013) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 35810 + ... + 36366.

Almost surely, 2^20101016 is an apocalyptic number.

20101016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

20101016 is an abundant number, since it is smaller than the sum of its proper divisors (20677624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20101016 is a wasteful number, since it uses less digits than its factorization.

20101016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 20101016 is about 4483.4156621933. The cubic root of 20101016 is about 271.8979937570.

Adding to 20101016 its reverse (61010102), we get a palindrome (81111118).

The spelling of 20101016 in words is "twenty million, one hundred one thousand, sixteen".