5110010101000 has 128 divisors (see below), whose sum is σ = 13673005032960. Its totient is φ = 1751057568000.

The previous prime is 5110010100971. The next prime is 5110010101003. The reversal of 5110010101000 is 1010100115.

It is a super-2 number, since 2×5110010101000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (5110010101003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12830869 + ... + 13223131.

It is an arithmetic number, because the mean of its divisors is an integer number (106820351820).

Almost surely, 2^{5110010101000} is an apocalyptic number.

5110010101000 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 5110010101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6836502516480).

5110010101000 is an abundant number, since it is smaller than the sum of its proper divisors (8562994931960).

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

5110010101000 is a wasteful number, since it uses less digits than its factorization.

5110010101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394152 (or 394138 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 10.

Adding to 5110010101000 its reverse (1010100115), we get a palindrome (5111020201115).

The spelling of 5110010101000 in words is "five trillion, one hundred ten billion, ten million, one hundred one thousand".