100121214342324 has 48 divisors (see below), whose sum is σ = 267038282649600. Its totient is φ = 28600877911776.

The previous prime is 100121214342283. The next prime is 100121214342341. The reversal of 100121214342324 is 423243412121001.

It is a happy number.

It is a super-2 number, since 2×100121214342324² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100121214342291 and 100121214342300.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 107519664 + ... + 108446855.

It is an arithmetic number, because the mean of its divisors is an integer number (5563297555200).

Almost surely, 2^{100121214342324} is an apocalyptic number.

100121214342324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100121214342324 is an abundant number, since it is smaller than the sum of its proper divisors (166917068307276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100121214342324 is a wasteful number, since it uses less digits than its factorization.

100121214342324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215972052 (or 215972050 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 100121214342324 its reverse (423243412121001), we get a palindrome (523364626463325).

The spelling of 100121214342324 in words is "one hundred trillion, one hundred twenty-one billion, two hundred fourteen million, three hundred forty-two thousand, three hundred twenty-four".