100001100002120 has 32 divisors (see below), whose sum is σ = 227186965062720. Its totient is φ = 39612086212800.

The previous prime is 100001100002117. The next prime is 100001100002131. The reversal of 100001100002120 is 21200001100001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 100001100002098 and 100001100002107.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12136051706 + ... + 12136059945.

It is an arithmetic number, because the mean of its divisors is an integer number (7099592658210).

Almost surely, 2^{100001100002120} is an apocalyptic number.

100001100002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001100002120 is an abundant number, since it is smaller than the sum of its proper divisors (127185865060600).

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

100001100002120 is a wasteful number, since it uses less digits than its factorization.

100001100002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24272111765 (or 24272111761 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100001100002120 its reverse (21200001100001), we get a palindrome (121201101102121).

The spelling of 100001100002120 in words is "one hundred trillion, one billion, one hundred million, two thousand, one hundred twenty".