5101116601000 has 128 divisors (see below), whose sum is σ = 13690052962560. Its totient is φ = 1742773536000.

The previous prime is 5101116600997. The next prime is 5101116601039. The reversal of 5101116601000 is 1066111015.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 693490 + ... + 3268510.

It is an arithmetic number, because the mean of its divisors is an integer number (106953538770).

Almost surely, 2^{5101116601000} is an apocalyptic number.

5101116601000 is a gapful number since it is divisible by the number (50) 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 5101116601000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6845026481280).

5101116601000 is an abundant number, since it is smaller than the sum of its proper divisors (8588936361560).

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

5101116601000 is a wasteful number, since it uses less digits than its factorization.

5101116601000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575332 (or 2575318 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 22.

The spelling of 5101116601000 in words is "five trillion, one hundred one billion, one hundred sixteen million, six hundred one thousand".