1020016101 has 48 divisors (see below), whose sum is σ = 1534688064. Its totient is φ = 598983168.

The previous prime is 1020016097. The next prime is 1020016117. The reversal of 1020016101 is 1016100201.

It is a happy number.

It is not a de Polignac number, because 1020016101 - 2² = 1020016097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020086101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4493350 + ... + 4493576.

It is an arithmetic number, because the mean of its divisors is an integer number (31972668).

Almost surely, 2^1020016101 is an apocalyptic number.

It is an amenable number.

1020016101 is a deficient number, since it is larger than the sum of its proper divisors (514671963).

1020016101 is a wasteful number, since it uses less digits than its factorization.

1020016101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 409 counting only the distinct ones).

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

The square root of 1020016101 is about 31937.6909152806. The cubic root of 1020016101 is about 1006.6280061441.

Adding to 1020016101 its reverse (1016100201), we get a palindrome (2036116302).

The spelling of 1020016101 in words is "one billion, twenty million, sixteen thousand, one hundred one".