10020110016 has 112 divisors (see below), whose sum is σ = 30582510336. Its totient is φ = 2836091904.

The previous prime is 10020109999. The next prime is 10020110069. The reversal of 10020110016 is 61001102001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10020109983 and 10020110010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108970 + ... + 178646.

It is an arithmetic number, because the mean of its divisors is an integer number (273058128).

Almost surely, 2^10020110016 is an apocalyptic number.

10020110016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020110016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15291255168).

10020110016 is an abundant number, since it is smaller than the sum of its proper divisors (20562400320).

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

10020110016 is a wasteful number, since it uses less digits than its factorization.

10020110016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69806 (or 69796 counting only the distinct ones).

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

Adding to 10020110016 its reverse (61001102001), we get a palindrome (71021212017).

The spelling of 10020110016 in words is "ten billion, twenty million, one hundred ten thousand, sixteen".