5101101106100 has 72 divisors (see below), whose sum is σ = 11209943976000. Its totient is φ = 2014688332800.

The previous prime is 5101101106063. The next prime is 5101101106103. The reversal of 5101101106100 is 16011011015.

It is a super-4 number, since 4×5101101106100⁴ (a number of 52 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5101101106103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1628516 + ... + 3585284.

Almost surely, 2^{5101101106100} is an apocalyptic number.

5101101106100 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 5101101106100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5604971988000).

5101101106100 is an abundant number, since it is smaller than the sum of its proper divisors (6108842869900).

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

5101101106100 is a wasteful number, since it uses less digits than its factorization.

5101101106100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957113 (or 1957106 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 17.

Adding to 5101101106100 its reverse (16011011015), we get a palindrome (5117112117115).

The spelling of 5101101106100 in words is "five trillion, one hundred one billion, one hundred one million, one hundred six thousand, one hundred".