100220100112101 has 16 divisors (see below), whose sum is σ = 140069385529920. Its totient is φ = 63667902506880.

The previous prime is 100220100112079. The next prime is 100220100112123. The reversal of 100220100112101 is 101211001022001.

It is an interprime number because it is at equal distance from previous prime (100220100112079) and next prime (100220100112123).

It is not a de Polignac number, because 100220100112101 - 2⁹ = 100220100111589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220100112201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9474384966 + ... + 9474395543.

It is an arithmetic number, because the mean of its divisors is an integer number (8754336595620).

Almost surely, 2^{100220100112101} is an apocalyptic number.

It is an amenable number.

100220100112101 is a deficient number, since it is larger than the sum of its proper divisors (39849285417819).

100220100112101 is a wasteful number, since it uses less digits than its factorization.

100220100112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18948780596.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100220100112101 its reverse (101211001022001), we get a palindrome (201431101134102).

The spelling of 100220100112101 in words is "one hundred trillion, two hundred twenty billion, one hundred million, one hundred twelve thousand, one hundred one".