10100583915136 has 1024 divisors, whose sum is σ = 27409429555200. Its totient is φ = 3629682524160.

The previous prime is 10100583915113. The next prime is 10100583915139. The reversal of 10100583915136 is 63151938500101.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a junction number, because it is equal to n+sod(n) for n = 10100583915092 and 10100583915101.

It is not an unprimeable number, because it can be changed into a prime (10100583915139) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17033024856 + ... + 17033025448.

It is an arithmetic number, because the mean of its divisors is an integer number (26767021050).

Almost surely, 2^{10100583915136} is an apocalyptic number.

10100583915136 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 10100583915136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13704714777600).

10100583915136 is an abundant number, since it is smaller than the sum of its proper divisors (17308845640064).

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

10100583915136 is a wasteful number, since it uses less digits than its factorization.

10100583915136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 43.

The spelling of 10100583915136 in words is "ten trillion, one hundred billion, five hundred eighty-three million, nine hundred fifteen thousand, one hundred thirty-six".