100100112020101 has 8 divisors (see below), whose sum is σ = 101141902091160. Its totient is φ = 99058522564608.

The previous prime is 100100112020053. The next prime is 100100112020123. The reversal of 100100112020101 is 101020211001001.

It can be written as a sum of positive squares in 4 ways, for example, as 4083434604001 + 96016677416100 = 2020751^2 + 9798810^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100100112020101 - 2¹³ = 100100112011909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100112020131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49150666 + ... + 51146731.

It is an arithmetic number, because the mean of its divisors is an integer number (12642737761395).

Almost surely, 2^{100100112020101} is an apocalyptic number.

It is an amenable number.

100100112020101 is a deficient number, since it is larger than the sum of its proper divisors (1041790071059).

100100112020101 is a wasteful number, since it uses less digits than its factorization.

100100112020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100307783.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100100112020101 its reverse (101020211001001), we get a palindrome (201120323021102).

The spelling of 100100112020101 in words is "one hundred trillion, one hundred billion, one hundred twelve million, twenty thousand, one hundred one".