10100506266208 has 72 divisors (see below), whose sum is σ = 21202439731200. Its totient is φ = 4735508441088.

The previous prime is 10100506266173. The next prime is 10100506266251. The reversal of 10100506266208 is 80266260500101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 457633 + ... + 4517791.

It is an arithmetic number, because the mean of its divisors is an integer number (294478329600).

Almost surely, 2^{10100506266208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100506266208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10601219865600).

10100506266208 is an abundant number, since it is smaller than the sum of its proper divisors (11101933464992).

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

10100506266208 is a wasteful number, since it uses less digits than its factorization.

10100506266208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4060472 (or 4060447 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

Adding to 10100506266208 its reverse (80266260500101), we get a palindrome (90366766766309).

The spelling of 10100506266208 in words is "ten trillion, one hundred billion, five hundred six million, two hundred sixty-six thousand, two hundred eight".