100121323120 has 160 divisors (see below), whose sum is σ = 288401541120. Its totient is φ = 31476556800.

The previous prime is 100121323073. The next prime is 100121323147. The reversal of 100121323120 is 21323121001.

It is a super-3 number, since 3×100121323120³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 100121323094 and 100121323103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1053741 + ... + 1144819.

It is an arithmetic number, because the mean of its divisors is an integer number (1802509632).

Almost surely, 2^100121323120 is an apocalyptic number.

100121323120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100121323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144200770560).

100121323120 is an abundant number, since it is smaller than the sum of its proper divisors (188280218000).

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

100121323120 is a wasteful number, since it uses less digits than its factorization.

100121323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91263 (or 91257 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100121323120 its reverse (21323121001), we get a palindrome (121444444121).

The spelling of 100121323120 in words is "one hundred billion, one hundred twenty-one million, three hundred twenty-three thousand, one hundred twenty".