10050605010100 has 72 divisors (see below), whose sum is σ = 22060252116000. Its totient is φ = 3974333865600.

The previous prime is 10050605010079. The next prime is 10050605010107. The reversal of 10050605010100 is 101050605001.

It is a super-2 number, since 2×10050605010100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10050605010107) 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, 1545471 + ... + 4742329.

It is an arithmetic number, because the mean of its divisors is an integer number (306392390500).

Almost surely, 2^{10050605010100} is an apocalyptic number.

10050605010100 is a gapful number since it is divisible by the number (10) 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 10050605010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11030126058000).

10050605010100 is an abundant number, since it is smaller than the sum of its proper divisors (12009647105900).

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

10050605010100 is a wasteful number, since it uses less digits than its factorization.

10050605010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197233 (or 3197226 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 10050605010100 its reverse (101050605001), we get a palindrome (10151655615101).

The spelling of 10050605010100 in words is "ten trillion, fifty billion, six hundred five million, ten thousand, one hundred".