100120100200120 has 256 divisors, whose sum is σ = 312890405990400. Its totient is φ = 27812479887360.

The previous prime is 100120100200019. The next prime is 100120100200129. The reversal of 100120100200120 is 21002001021001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100120100200097 and 100120100200106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120100200129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41950944 + ... + 44273263.

It is an arithmetic number, because the mean of its divisors is an integer number (1222228148400).

Almost surely, 2^{100120100200120} is an apocalyptic number.

100120100200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120100200120 is an abundant number, since it is smaller than the sum of its proper divisors (212770305790280).

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

100120100200120 is a wasteful number, since it uses less digits than its factorization.

100120100200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86224278 (or 86224274 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100120100200120 its reverse (21002001021001), we get a palindrome (121122101221121).

The spelling of 100120100200120 in words is "one hundred trillion, one hundred twenty billion, one hundred million, two hundred thousand, one hundred twenty".