101212100222211 has 96 divisors (see below), whose sum is σ = 167038981484544. Its totient is φ = 58494369024000.

The previous prime is 101212100222209. The next prime is 101212100222279. The reversal of 101212100222211 is 112222001212101.

101212100222211 is a `hidden beast` number, since 1 + 0 + 1 + 21 + 210 + 0 + 222 + 211 = 666.

It is not a de Polignac number, because 101212100222211 - 2¹ = 101212100222209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101212100222011) 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 95 ways as a sum of consecutive naturals, for example, 408000831 + ... + 408248823.

It is an arithmetic number, because the mean of its divisors is an integer number (1739989390464).

Almost surely, 2^{101212100222211} is an apocalyptic number.

101212100222211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101212100222211 is a deficient number, since it is larger than the sum of its proper divisors (65826881262333).

101212100222211 is a wasteful number, since it uses less digits than its factorization.

101212100222211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249985 (or 249982 counting only the distinct ones).

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

Adding to 101212100222211 its reverse (112222001212101), we get a palindrome (213434101434312).

The spelling of 101212100222211 in words is "one hundred one trillion, two hundred twelve billion, one hundred million, two hundred twenty-two thousand, two hundred eleven".