101220212201211 has 64 divisors (see below), whose sum is σ = 165684696791040. Its totient is φ = 60747715860480.

The previous prime is 101220212201209. The next prime is 101220212201221. The reversal of 101220212201211 is 112102212022101.

101220212201211 is a `hidden beast` number, since 1 + 0 + 1 + 220 + 212 + 20 + 1 + 211 = 666.

It is not a de Polignac number, because 101220212201211 - 2¹ = 101220212201209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101220212201221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 460080211 + ... + 460300163.

It is an arithmetic number, because the mean of its divisors is an integer number (2588823387360).

Almost surely, 2^{101220212201211} is an apocalyptic number.

101220212201211 is a deficient number, since it is larger than the sum of its proper divisors (64464484589829).

101220212201211 is a wasteful number, since it uses less digits than its factorization.

101220212201211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263593 (or 263587 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101220212201211 its reverse (112102212022101), we get a palindrome (213322424223312).

The spelling of 101220212201211 in words is "one hundred one trillion, two hundred twenty billion, two hundred twelve million, two hundred one thousand, two hundred eleven".