100120220101 has 4 divisors (see below), whose sum is σ = 109222058304. Its totient is φ = 91018381900.

The previous prime is 100120220093. The next prime is 100120220141. The reversal of 100120220101 is 101022021001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100120220101 - 2³ = 100120220093 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 (100120220141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4550919085 + ... + 4550919106.

It is an arithmetic number, because the mean of its divisors is an integer number (27305514576).

Almost surely, 2^100120220101 is an apocalyptic number.

100120220101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100120220101 is a deficient number, since it is larger than the sum of its proper divisors (9101838203).

100120220101 is an equidigital number, since it uses as much as digits as its factorization.

100120220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9101838202.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100120220101 its reverse (101022021001), we get a palindrome (201142241102).

Subtracting 100120220101 from its reverse (101022021001), we obtain a square (901800900 = 30030²).

The spelling of 100120220101 in words is "one hundred billion, one hundred twenty million, two hundred twenty thousand, one hundred one".