100100120202120 has 128 divisors (see below), whose sum is σ = 300544384746240. Its totient is φ = 26671677603840.

The previous prime is 100100120202097. The next prime is 100100120202167. The reversal of 100100120202120 is 21202021001001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100100120202096 and 100100120202105.

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 31 ways as a sum of consecutive naturals, for example, 3916114140 + ... + 3916139700.

It is an arithmetic number, because the mean of its divisors is an integer number (2348003005830).

Almost surely, 2^{100100120202120} is an apocalyptic number.

100100120202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100120202120 is an abundant number, since it is smaller than the sum of its proper divisors (200444264544120).

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

100100120202120 is a wasteful number, since it uses less digits than its factorization.

100100120202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50815 (or 50811 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100100120202120 its reverse (21202021001001), we get a palindrome (121302141203121).

The spelling of 100100120202120 in words is "one hundred trillion, one hundred billion, one hundred twenty million, two hundred two thousand, one hundred twenty".