100122017197801 has 9 divisors (see below), whose sum is σ = 100185726512599. Its totient is φ = 100058348389864.

The previous prime is 100122017197759. The next prime is 100122017197849. The reversal of 100122017197801 is 108791710221001.

The square root of 100122017197801 is 10006099.

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

It can be written as a sum of positive squares in only one way, i.e., 3428700305625 + 96693316892176 = 1851675^2 + 9833276^2 .

It is not a de Polignac number, because 100122017197801 - 2¹³ = 100122017189609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100122017177801) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28387301100 + ... + 28387304626.

Almost surely, 2^{100122017197801} is an apocalyptic number.

100122017197801 is the 10006099-th square number.

100122017197801 is the 5003050-th centered octagonal number.

It is an amenable number.

100122017197801 is a deficient number, since it is larger than the sum of its proper divisors (63709314798).

100122017197801 is an frugal number, since it uses more digits than its factorization.

100122017197801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12728 (or 6364 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 40.

The spelling of 100122017197801 in words is "one hundred trillion, one hundred twenty-two billion, seventeen million, one hundred ninety-seven thousand, eight hundred one".