100101011221211 has 16 divisors (see below), whose sum is σ = 134401357724928. Its totient is φ = 72000727351200.

The previous prime is 100101011221157. The next prime is 100101011221229. The reversal of 100101011221211 is 112122110101001.

It is a cyclic number.

It is not a de Polignac number, because 100101011221211 - 2²⁶ = 100100944112347 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100101011221261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50000504105 + ... + 50000506106.

It is an arithmetic number, because the mean of its divisors is an integer number (8400084857808).

Almost surely, 2^{100101011221211} is an apocalyptic number.

100101011221211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100101011221211 is a deficient number, since it is larger than the sum of its proper divisors (34300346503717).

100101011221211 is a wasteful number, since it uses less digits than its factorization.

100101011221211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100001010242.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100101011221211 its reverse (112122110101001), we get a palindrome (212223121322212).

It can be divided in two parts, 1001010 and 11221211, that added together give a palindrome (12222221).

The spelling of 100101011221211 in words is "one hundred trillion, one hundred one billion, eleven million, two hundred twenty-one thousand, two hundred eleven".