100122310020123 has 192 divisors, whose sum is σ = 166255417036800. Its totient is φ = 59971383521280.

The previous prime is 100122310020121. The next prime is 100122310020143. The reversal of 100122310020123 is 321020013221001.

100122310020123 is a `hidden beast` number, since 10 + 0 + 122 + 310 + 0 + 201 + 23 = 666.

It is not a de Polignac number, because 100122310020123 - 2¹ = 100122310020121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100122310020096 and 100122310020105.

It is not an unprimeable number, because it can be changed into a prime (100122310020121) 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 191 ways as a sum of consecutive naturals, for example, 1439393461 + ... + 1439463017.

It is an arithmetic number, because the mean of its divisors is an integer number (865913630400).

Almost surely, 2^{100122310020123} is an apocalyptic number.

100122310020123 is a deficient number, since it is larger than the sum of its proper divisors (66133107016677).

100122310020123 is a wasteful number, since it uses less digits than its factorization.

100122310020123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69824 (or 69812 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100122310020123 its reverse (321020013221001), we get a palindrome (421142323241124).

The spelling of 100122310020123 in words is "one hundred trillion, one hundred twenty-two billion, three hundred ten million, twenty thousand, one hundred twenty-three".