20123012333100 has 576 divisors, whose sum is σ = 63327466782720. Its totient is φ = 4918844620800.

The previous prime is 20123012333057. The next prime is 20123012333159. The reversal of 20123012333100 is 133321032102.

It is a super-2 number, since 2×20123012333100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17452742124 + ... + 17452743276.

It is an arithmetic number, because the mean of its divisors is an integer number (109943518720).

Almost surely, 2^{20123012333100} is an apocalyptic number.

20123012333100 is a gapful number since it is divisible by the number (20) 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 20123012333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31663733391360).

20123012333100 is an abundant number, since it is smaller than the sum of its proper divisors (43204454449620).

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

20123012333100 is a wasteful number, since it uses less digits than its factorization.

20123012333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 20123012333100 its reverse (133321032102), we get a palindrome (20256333365202).

The spelling of 20123012333100 in words is "twenty trillion, one hundred twenty-three billion, twelve million, three hundred thirty-three thousand, one hundred".