5106051050100 has 288 divisors, whose sum is σ = 19835759763456. Its totient is φ = 979382361600.

The previous prime is 5106051050099. The next prime is 5106051050101. The reversal of 5106051050100 is 10501506015.

It is an interprime number because it is at equal distance from previous prime (5106051050099) and next prime (5106051050101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5106051050101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8201284 + ... + 8801883.

Almost surely, 2^{5106051050100} is an apocalyptic number.

5106051050100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5106051050100 is an abundant number, since it is smaller than the sum of its proper divisors (14729708713356).

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

5106051050100 is a wasteful number, since it uses less digits than its factorization.

5106051050100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17003215 (or 17003208 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 5106051050100 its reverse (10501506015), we get a palindrome (5116552556115).

The spelling of 5106051050100 in words is "five trillion, one hundred six billion, fifty-one million, fifty thousand, one hundred".