100215121525332 has 96 divisors (see below), whose sum is σ = 256562111232000. Its totient is φ = 30193386988800.

The previous prime is 100215121525313. The next prime is 100215121525361. The reversal of 100215121525332 is 233525121512001.

It is a super-2 number, since 2×100215121525332² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 100215121525293 and 100215121525302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138595669 + ... + 139316867.

It is an arithmetic number, because the mean of its divisors is an integer number (2672521992000).

Almost surely, 2^{100215121525332} is an apocalyptic number.

100215121525332 is a gapful number since it is divisible by the number (12) 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 100215121525332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128281055616000).

100215121525332 is an abundant number, since it is smaller than the sum of its proper divisors (156346989706668).

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

100215121525332 is a wasteful number, since it uses less digits than its factorization.

100215121525332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727277 (or 727275 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 100215121525332 in words is "one hundred trillion, two hundred fifteen billion, one hundred twenty-one million, five hundred twenty-five thousand, three hundred thirty-two".