123122102100 has 288 divisors, whose sum is σ = 375222650880. Its totient is φ = 31135104000.

The previous prime is 123122102093. The next prime is 123122102101. The reversal of 123122102100 is 1201221321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 123122102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123122102101) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 143331471 + ... + 143332329.

Almost surely, 2^123122102100 is an apocalyptic number.

123122102100 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 123122102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187611325440).

123122102100 is an abundant number, since it is smaller than the sum of its proper divisors (252100548780).

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

123122102100 is a wasteful number, since it uses less digits than its factorization.

123122102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 123122102100 its reverse (1201221321), we get a palindrome (124323323421).

The spelling of 123122102100 in words is "one hundred twenty-three billion, one hundred twenty-two million, one hundred two thousand, one hundred".