123100100032 has 224 divisors, whose sum is σ = 309798720000. Its totient is φ = 47232847872.

The previous prime is 123100100029. The next prime is 123100100083. The reversal of 123100100032 is 230001001321.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 123100099985 and 123100100021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37312719 + ... + 37316017.

It is an arithmetic number, because the mean of its divisors is an integer number (1383030000).

Almost surely, 2^123100100032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123100100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154899360000).

123100100032 is an abundant number, since it is smaller than the sum of its proper divisors (186698619968).

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

123100100032 is a wasteful number, since it uses less digits than its factorization.

123100100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3523 (or 3513 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 123100100032 its reverse (230001001321), we get a palindrome (353101101353).

The spelling of 123100100032 in words is "one hundred twenty-three billion, one hundred million, one hundred thousand, thirty-two".