101221222122 has 24 divisors (see below), whose sum is σ = 225240018276. Its totient is φ = 32828504256.

The previous prime is 101221222073. The next prime is 101221222139. The reversal of 101221222122 is 221222122101.

It is a happy number.

101221222122 is a `hidden beast` number, since 101 + 221 + 222 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100691347761 + 529874361 = 317319^2 + 23019^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101221222095 and 101221222104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75991243 + ... + 75992574.

Almost surely, 2^101221222122 is an apocalyptic number.

101221222122 is an abundant number, since it is smaller than the sum of its proper divisors (124018796154).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101221222122 is a wasteful number, since it uses less digits than its factorization.

101221222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151983862 (or 151983859 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101221222122 its reverse (221222122101), we get a palindrome (322443344223).

It can be divided in two parts, 101 and 221222122, that multiplied together give a palindrome (22343434322).

The spelling of 101221222122 in words is "one hundred one billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty-two".