101211202121211 has 384 divisors, whose sum is σ = 191213729021952. Its totient is φ = 50166864000000.

The previous prime is 101211202121189. The next prime is 101211202121221. The reversal of 101211202121211 is 112121202112101.

It is a happy number.

101211202121211 is a `hidden beast` number, since 1 + 0 + 121 + 120 + 212 + 1 + 211 = 666.

It is not a de Polignac number, because 101211202121211 - 2¹⁰ = 101211202120187 is a prime.

It is a super-3 number, since 3×101211202121211³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (101211202121221) 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 383 ways as a sum of consecutive naturals, for example, 43123646940 + ... + 43123649286.

It is an arithmetic number, because the mean of its divisors is an integer number (497952419328).

Almost surely, 2^{101211202121211} is an apocalyptic number.

101211202121211 is a deficient number, since it is larger than the sum of its proper divisors (90002526900741).

101211202121211 is a wasteful number, since it uses less digits than its factorization.

101211202121211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101211202121211 its reverse (112121202112101), we get a palindrome (213332404233312).

The spelling of 101211202121211 in words is "one hundred one trillion, two hundred eleven billion, two hundred two million, one hundred twenty-one thousand, two hundred eleven".