5101102012116 has 96 divisors (see below), whose sum is σ = 13186448110080. Its totient is φ = 1521932752000.

The previous prime is 5101102012103. The next prime is 5101102012117. The reversal of 5101102012116 is 6112102011015.

It is a junction number, because it is equal to n+sod(n) for n = 5101102012092 and 5101102012101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5101102012117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1317655 + ... + 3455201.

It is an arithmetic number, because the mean of its divisors is an integer number (137358834480).

Almost surely, 2^{5101102012116} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5101102012116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6593224055040).

5101102012116 is an abundant number, since it is smaller than the sum of its proper divisors (8085346097964).

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

5101102012116 is a wasteful number, since it uses less digits than its factorization.

5101102012116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137845 (or 2137843 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 21.

The spelling of 5101102012116 in words is "five trillion, one hundred one billion, one hundred two million, twelve thousand, one hundred sixteen".