100512263016 has 528 divisors, whose sum is σ = 333275398560. Its totient is φ = 28129368960.

The previous prime is 100512263011. The next prime is 100512263081. The reversal of 100512263016 is 610362215001.

100512263016 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 1 + 22 + 630 + 1 + 6 = 666.

It is a super-2 number, since 2×100512263016² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (100512263011) by changing a digit.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 3465940090 + ... + 3465940118.

Almost surely, 2^100512263016 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 100512263016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166637699280).

100512263016 is an abundant number, since it is smaller than the sum of its proper divisors (232763135544).

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

100512263016 is an equidigital number, since it uses as much as digits as its factorization.

100512263016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 100512263016 its reverse (610362215001), we get a palindrome (710874478017).

The spelling of 100512263016 in words is "one hundred billion, five hundred twelve million, two hundred sixty-three thousand, sixteen".