100122222102123 has 64 divisors (see below), whose sum is σ = 145425436176384. Its totient is φ = 60904825344000.

The previous prime is 100122222102121. The next prime is 100122222102151. The reversal of 100122222102123 is 321201222221001.

It is not a de Polignac number, because 100122222102123 - 2¹ = 100122222102121 is a prime.

It is a super-2 number, since 2×100122222102123² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100122222102123.

It is not an unprimeable number, because it can be changed into a prime (100122222102121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3643311543 + ... + 3643339023.

It is an arithmetic number, because the mean of its divisors is an integer number (2272272440256).

Almost surely, 2^{100122222102123} is an apocalyptic number.

100122222102123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100122222102123 is a deficient number, since it is larger than the sum of its proper divisors (45303214074261).

100122222102123 is a wasteful number, since it uses less digits than its factorization.

100122222102123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29476.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 100122222102123 its reverse (321201222221001), we get a palindrome (421323444323124).

The spelling of 100122222102123 in words is "one hundred trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred two thousand, one hundred twenty-three".