100201603516 has 72 divisors (see below), whose sum is σ = 205278796800. Its totient is φ = 42671416032.

The previous prime is 100201603501. The next prime is 100201603531. The reversal of 100201603516 is 615306102001.

It is an interprime number because it is at equal distance from previous prime (100201603501) and next prime (100201603531).

It is a super-2 number, since 2×100201603516² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20877285 + ... + 20882083.

It is an arithmetic number, because the mean of its divisors is an integer number (2851094400).

Almost surely, 2^100201603516 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 100201603516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102639398400).

100201603516 is an abundant number, since it is smaller than the sum of its proper divisors (105077193284).

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

100201603516 is a wasteful number, since it uses less digits than its factorization.

100201603516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5471 (or 5462 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 100201603516 its reverse (615306102001), we get a palindrome (715507705517).

The spelling of 100201603516 in words is "one hundred billion, two hundred one million, six hundred three thousand, five hundred sixteen".