101101021100211 has 16 divisors (see below), whose sum is σ = 147426448923648. Its totient is φ = 61119005191200.

The previous prime is 101101021100173. The next prime is 101101021100273. The reversal of 101101021100211 is 112001120101101.

It is not a de Polignac number, because 101101021100211 - 2¹⁰ = 101101021099187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101101021100291) 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, 3858509955 + ... + 3858536156.

It is an arithmetic number, because the mean of its divisors is an integer number (9214153057728).

Almost surely, 2^{101101021100211} is an apocalyptic number.

101101021100211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101101021100211 is a deficient number, since it is larger than the sum of its proper divisors (46325427823437).

101101021100211 is a wasteful number, since it uses less digits than its factorization.

101101021100211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7717046522.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101101021100211 its reverse (112001120101101), we get a palindrome (213102141201312).

The spelling of 101101021100211 in words is "one hundred one trillion, one hundred one billion, twenty-one million, one hundred thousand, two hundred eleven".