100315228031001 has 45 divisors (see below), whose sum is σ = 150238230870981. Its totient is φ = 66705609473928.

The previous prime is 100315228030991. The next prime is 100315228031069. The reversal of 100315228031001 is 100130822513001.

The square root of 100315228031001 is 10015749.

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

100315228031001 is a `hidden beast` number, since 1 + 0 + 0 + 31 + 522 + 8 + 0 + 3 + 100 + 1 = 666.

It is not a de Polignac number, because 100315228031001 - 2²¹ = 100315225933849 is a prime.

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 (100315228031071) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 42096191856 + ... + 42096194238.

Almost surely, 2^{100315228031001} is an apocalyptic number.

100315228031001 is the 10015749-th square number.

100315228031001 is the 5007875-th centered octagonal number.

It is an amenable number.

100315228031001 is a deficient number, since it is larger than the sum of its proper divisors (49923002839980).

100315228031001 is an frugal number, since it uses more digits than its factorization.

100315228031001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5712 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 100315228031001 in words is "one hundred trillion, three hundred fifteen billion, two hundred twenty-eight million, thirty-one thousand, one".