101101222122102 has 32 divisors (see below), whose sum is σ = 226769096361600. Its totient is φ = 33385450293864.

The previous prime is 101101222122101. The next prime is 101101222122119. The reversal of 101101222122102 is 201221222101101.

101101222122102 is a `hidden beast` number, since 10 + 110 + 122 + 212 + 210 + 2 = 666.

It is a super-2 number, since 2×101101222122102² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101222122101) 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 15 ways as a sum of consecutive naturals, for example, 8748801952 + ... + 8748813507.

It is an arithmetic number, because the mean of its divisors is an integer number (7086534261300).

Almost surely, 2^{101101222122102} is an apocalyptic number.

101101222122102 is an abundant number, since it is smaller than the sum of its proper divisors (125667874239498).

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

101101222122102 is a wasteful number, since it uses less digits than its factorization.

101101222122102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17497615577 (or 17497615571 counting only the distinct ones).

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

Adding to 101101222122102 its reverse (201221222101101), we get a palindrome (302322444223203).

The spelling of 101101222122102 in words is "one hundred one trillion, one hundred one billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred two".