100101120022211 has 32 divisors (see below), whose sum is σ = 131379983424000. Its totient is φ = 73889886631680.

The previous prime is 100101120022151. The next prime is 100101120022237. The reversal of 100101120022211 is 112220021101001.

It is not a de Polignac number, because 100101120022211 - 2¹⁰ = 100101120021187 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101120022271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16468961 + ... + 21712413.

It is an arithmetic number, because the mean of its divisors is an integer number (4105624482000).

Almost surely, 2^{100101120022211} is an apocalyptic number.

100101120022211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100101120022211 is a deficient number, since it is larger than the sum of its proper divisors (31278863401789).

100101120022211 is a wasteful number, since it uses less digits than its factorization.

100101120022211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5256539.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100101120022211 its reverse (112220021101001), we get a palindrome (212321141123212).

The spelling of 100101120022211 in words is "one hundred trillion, one hundred one billion, one hundred twenty million, twenty-two thousand, two hundred eleven".