101122221221 has 16 divisors (see below), whose sum is σ = 115726490880. Its totient is φ = 86557610880.

The previous prime is 101122221119. The next prime is 101122221241. The reversal of 101122221221 is 122122221101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101122221221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101122221221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122221241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20800331 + ... + 20805191.

It is an arithmetic number, because the mean of its divisors is an integer number (7232905680).

Almost surely, 2^101122221221 is an apocalyptic number.

It is an amenable number.

101122221221 is a deficient number, since it is larger than the sum of its proper divisors (14604269659).

101122221221 is a wasteful number, since it uses less digits than its factorization.

101122221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8324.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101122221221 its reverse (122122221101), we get a palindrome (223244442322).

The spelling of 101122221221 in words is "one hundred one billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred twenty-one".