10100415177216 has 1920 divisors, whose sum is σ = 40086246816000. Its totient is φ = 2480134422528.

The previous prime is 10100415177197. The next prime is 10100415177227. The reversal of 10100415177216 is 61277151400101.

10100415177216 is a `hidden beast` number, since 1 + 0 + 10 + 0 + 415 + 17 + 7 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16317310155 + ... + 16317310773.

It is an arithmetic number, because the mean of its divisors is an integer number (20878253550).

Almost surely, 2^{10100415177216} is an apocalyptic number.

10100415177216 is a gapful number since it is divisible by the number (16) 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 10100415177216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20043123408000).

10100415177216 is an abundant number, since it is smaller than the sum of its proper divisors (29985831638784).

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

10100415177216 is a wasteful number, since it uses less digits than its factorization.

10100415177216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

Adding to 10100415177216 its reverse (61277151400101), we get a palindrome (71377566577317).

The spelling of 10100415177216 in words is "ten trillion, one hundred billion, four hundred fifteen million, one hundred seventy-seven thousand, two hundred sixteen".