101101012102211 has 16 divisors (see below), whose sum is σ = 115096107859200. Its totient is φ = 87907209186720.

The previous prime is 101101012102193. The next prime is 101101012102217. The reversal of 101101012102211 is 112201210101101.

It is not a de Polignac number, because 101101012102211 - 2¹⁸ = 101101011840067 is a prime.

It is a super-2 number, since 2×101101012102211² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101101012102217) 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, 11939360 + ... + 18567453.

It is an arithmetic number, because the mean of its divisors is an integer number (7193506741200).

Almost surely, 2^{101101012102211} is an apocalyptic number.

101101012102211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101101012102211 is a deficient number, since it is larger than the sum of its proper divisors (13995095756989).

101101012102211 is a wasteful number, since it uses less digits than its factorization.

101101012102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30519946.

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

Adding to 101101012102211 its reverse (112201210101101), we get a palindrome (213302222203312).

The spelling of 101101012102211 in words is "one hundred one trillion, one hundred one billion, twelve million, one hundred two thousand, two hundred eleven".