101020122212211 has 24 divisors (see below), whose sum is σ = 149947172363040. Its totient is φ = 65489185708416.

The previous prime is 101020122212147. The next prime is 101020122212323. The reversal of 101020122212211 is 112212221020101.

101020122212211 is a `hidden beast` number, since 10 + 10 + 201 + 2 + 221 + 221 + 1 = 666.

It is not a de Polignac number, because 101020122212211 - 2⁶ = 101020122212147 is a prime.

It is a super-3 number, since 3×101020122212211³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101020122212011) 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 23 ways as a sum of consecutive naturals, for example, 85943271 + ... + 87110768.

It is an arithmetic number, because the mean of its divisors is an integer number (6247798848460).

Almost surely, 2^{101020122212211} is an apocalyptic number.

101020122212211 is a deficient number, since it is larger than the sum of its proper divisors (48927050150829).

101020122212211 is a wasteful number, since it uses less digits than its factorization.

101020122212211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173055835 (or 173055832 counting only the distinct ones).

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

Adding to 101020122212211 its reverse (112212221020101), we get a palindrome (213232343232312).

The spelling of 101020122212211 in words is "one hundred one trillion, twenty billion, one hundred twenty-two million, two hundred twelve thousand, two hundred eleven".