100578815152201 has 3 divisors (see below), whose sum is σ = 100578825181101. Its totient is φ = 100578805123302.

The previous prime is 100578815152181. The next prime is 100578815152271. The reversal of 100578815152201 is 102251518875001.

The square root of 100578815152201 is 10028899.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 100578815152201 - 2³¹ = 100576667668553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100578815152271) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5014450 + ... + 15043348.

It is an arithmetic number, because the mean of its divisors is an integer number (33526275060367).

Almost surely, 2^{100578815152201} is an apocalyptic number.

100578815152201 is the 10028899-th square number.

100578815152201 is the 5014450-th centered octagonal number.

It is an amenable number.

100578815152201 is a deficient number, since it is larger than the sum of its proper divisors (10028900).

100578815152201 is an frugal number, since it uses more digits than its factorization.

100578815152201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20057798 (or 10028899 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 46.

The spelling of 100578815152201 in words is "one hundred trillion, five hundred seventy-eight billion, eight hundred fifteen million, one hundred fifty-two thousand, two hundred one".