10124100252864 has 1344 divisors, whose sum is σ = 35186576515200. Its totient is φ = 2842083459072.

The previous prime is 10124100252853. The next prime is 10124100252869. The reversal of 10124100252864 is 46825200142101.

10124100252864 is a `hidden beast` number, since 1 + 0 + 1 + 24 + 100 + 2 + 528 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10124100252869) by changing a digit.

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, 28680170512 + ... + 28680170864.

Almost surely, 2^{10124100252864} 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 10124100252864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17593288257600).

10124100252864 is an abundant number, since it is smaller than the sum of its proper divisors (25062476262336).

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

10124100252864 is a wasteful number, since it uses less digits than its factorization.

10124100252864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 10124100252864 its reverse (46825200142101), we get a palindrome (56949300394965).

The spelling of 10124100252864 in words is "ten trillion, one hundred twenty-four billion, one hundred million, two hundred fifty-two thousand, eight hundred sixty-four".