101211100221101 has 24 divisors (see below), whose sum is σ = 116084190040704. Its totient is φ = 87898220616960.

The previous prime is 101211100221097. The next prime is 101211100221139. The reversal of 101211100221101 is 101122001112101.

It is not a de Polignac number, because 101211100221101 - 2² = 101211100221097 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 (101211100221001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1583786 + ... + 14315396.

It is an arithmetic number, because the mean of its divisors is an integer number (4836841251696).

Almost surely, 2^{101211100221101} is an apocalyptic number.

It is an amenable number.

101211100221101 is a deficient number, since it is larger than the sum of its proper divisors (14873089819603).

101211100221101 is a wasteful number, since it uses less digits than its factorization.

101211100221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12734421 (or 12734408 counting only the distinct ones).

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

Adding to 101211100221101 its reverse (101122001112101), we get a palindrome (202333101333202).

The spelling of 101211100221101 in words is "one hundred one trillion, two hundred eleven billion, one hundred million, two hundred twenty-one thousand, one hundred one".