100002122102120 has 64 divisors (see below), whose sum is σ = 265443420902400. Its totient is φ = 33180427607040.

The previous prime is 100002122102059. The next prime is 100002122102171. The reversal of 100002122102120 is 21201221200001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 100002122102095 and 100002122102104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5760482225 + ... + 5760499584.

It is an arithmetic number, because the mean of its divisors is an integer number (4147553451600).

Almost surely, 2^{100002122102120} is an apocalyptic number.

100002122102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100002122102120 is an abundant number, since it is smaller than the sum of its proper divisors (165441298800280).

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

100002122102120 is a wasteful number, since it uses less digits than its factorization.

100002122102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11520981858 (or 11520981854 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100002122102120 its reverse (21201221200001), we get a palindrome (121203343302121).

The spelling of 100002122102120 in words is "one hundred trillion, two billion, one hundred twenty-two million, one hundred two thousand, one hundred twenty".