100123343321001 has 192 divisors, whose sum is σ = 187317428325888. Its totient is φ = 46251025920000.

The previous prime is 100123343320963. The next prime is 100123343321039.

100123343321001 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (100123343320963) and next prime (100123343321039).

It is not a de Polignac number, because 100123343321001 - 2¹³ = 100123343312809 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100123343326001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 123038781 + ... + 123849861.

It is an arithmetic number, because the mean of its divisors is an integer number (975611605864).

Almost surely, 2^{100123343321001} is an apocalyptic number.

100123343321001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100123343321001 is a deficient number, since it is larger than the sum of its proper divisors (87194085004887).

100123343321001 is a wasteful number, since it uses less digits than its factorization.

100123343321001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811264 (or 811253 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The spelling of 100123343321001 in words is "one hundred trillion, one hundred twenty-three billion, three hundred forty-three million, three hundred twenty-one thousand, one".