102100001122 has 16 divisors (see below), whose sum is σ = 176634342720. Its totient is φ = 43355701008.

The previous prime is 102100001119. The next prime is 102100001147. The reversal of 102100001122 is 221100001201.

It is a super-3 number, since 3×102100001122³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 102100001099 and 102100001108.

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 7 ways as a sum of consecutive naturals, for example, 33451948 + ... + 33454999.

It is an arithmetic number, because the mean of its divisors is an integer number (11039646420).

Almost surely, 2^102100001122 is an apocalyptic number.

102100001122 is a deficient number, since it is larger than the sum of its proper divisors (74534341598).

102100001122 is a wasteful number, since it uses less digits than its factorization.

102100001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66907065.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102100001122 its reverse (221100001201), we get a palindrome (323200002323).

The spelling of 102100001122 in words is "one hundred two billion, one hundred million, one thousand, one hundred twenty-two".