100213034752 has 72 divisors (see below), whose sum is σ = 207430352640. Its totient is φ = 48262287360.

The previous prime is 100213034743. The next prime is 100213034759. The reversal of 100213034752 is 257430312001.

It is a self number, because there is not a number n which added to its sum of digits gives 100213034752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100213034759) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3109473 + ... + 3141535.

It is an arithmetic number, because the mean of its divisors is an integer number (2880977120).

Almost surely, 2^100213034752 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 100213034752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103715176320).

100213034752 is an abundant number, since it is smaller than the sum of its proper divisors (107217317888).

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

100213034752 is an equidigital number, since it uses as much as digits as its factorization.

100213034752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32529 (or 32515 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

Adding to 100213034752 its reverse (257430312001), we get a palindrome (357643346753).

The spelling of 100213034752 in words is "one hundred billion, two hundred thirteen million, thirty-four thousand, seven hundred fifty-two".