122103332000100 has 864 divisors, whose sum is σ = 443642023843200. Its totient is φ = 27779305881600.

The previous prime is 122103332000087. The next prime is 122103332000113. The reversal of 122103332000100 is 1000233301221.

122103332000100 is a `hidden beast` number, since 1 + 2 + 210 + 33 + 320 + 0 + 0 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (122103332000087) and next prime (122103332000113).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9952176766 + ... + 9952189034.

Almost surely, 2^{122103332000100} is an apocalyptic number.

122103332000100 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 122103332000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221821011921600).

122103332000100 is an abundant number, since it is smaller than the sum of its proper divisors (321538691843100).

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

122103332000100 is a wasteful number, since it uses less digits than its factorization.

122103332000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12813 (or 12803 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 122103332000100 its reverse (1000233301221), we get a palindrome (123103565301321).

The spelling of 122103332000100 in words is "one hundred twenty-two trillion, one hundred three billion, three hundred thirty-two million, one hundred", and thus it is an aban number.