100222102123 has 64 divisors (see below), whose sum is σ = 127861493760. Its totient is φ = 77236790400.

The previous prime is 100222102109. The next prime is 100222102187. The reversal of 100222102123 is 321201222001.

It is a happy number.

It is not a de Polignac number, because 100222102123 - 2¹⁷ = 100221971051 is a prime.

It is a super-2 number, since 2×100222102123² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100222102097 and 100222102106.

It is not an unprimeable number, because it can be changed into a prime (100222102193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8338188 + ... + 8350198.

It is an arithmetic number, because the mean of its divisors is an integer number (1997835840).

Almost surely, 2^100222102123 is an apocalyptic number.

100222102123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100222102123 is a deficient number, since it is larger than the sum of its proper divisors (27639391637).

100222102123 is a wasteful number, since it uses less digits than its factorization.

100222102123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12160.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 100222102123 its reverse (321201222001), we get a palindrome (421423324124).

The spelling of 100222102123 in words is "one hundred billion, two hundred twenty-two million, one hundred two thousand, one hundred twenty-three".