100100120102100 has 108 divisors (see below), whose sum is σ = 314021268094716. Its totient is φ = 26670990082560.

The previous prime is 100100120102053. The next prime is 100100120102111. The reversal of 100100120102100 is 1201021001001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 429688116036 + 99670431986064 = 655506^2 + 9983508^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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 35 ways as a sum of consecutive naturals, for example, 45540867 + ... + 47688266.

Almost surely, 2^{100100120102100} is an apocalyptic number.

100100120102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100120102100 is an abundant number, since it is smaller than the sum of its proper divisors (213921147992616).

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

100100120102100 is a wasteful number, since it uses less digits than its factorization.

100100120102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93230346 (or 93230336 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100100120102100 its reverse (1201021001001), we get a palindrome (101301141103101).

The spelling of 100100120102100 in words is "one hundred trillion, one hundred billion, one hundred twenty million, one hundred two thousand, one hundred".