10153100805120 has 3168 divisors, whose sum is σ = 47776992576768. Its totient is φ = 2045375152128.

The previous prime is 10153100805119. The next prime is 10153100805151. The reversal of 10153100805120 is 2150800135101.

10153100805120 is a `hidden beast` number, since 1 + 0 + 1 + 531 + 0 + 0 + 8 + 0 + 5 + 120 = 666.

10153100805120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10153100805120³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18228187882 + ... + 18228188438.

Almost surely, 2^{10153100805120} is an apocalyptic number.

10153100805120 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 10153100805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23888496288384).

10153100805120 is an abundant number, since it is smaller than the sum of its proper divisors (37623891771648).

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

10153100805120 is a wasteful number, since it uses less digits than its factorization.

10153100805120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The spelling of 10153100805120 in words is "ten trillion, one hundred fifty-three billion, one hundred million, eight hundred five thousand, one hundred twenty".