100022001100120 has 128 divisors (see below), whose sum is σ = 259321858836480. Its totient is φ = 34379791488000.

The previous prime is 100022001100103. The next prime is 100022001100123. The reversal of 100022001100120 is 21001100220001.

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 = 100022001100097 and 100022001100106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022001100123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84680821 + ... + 85853860.

It is an arithmetic number, because the mean of its divisors is an integer number (2025952022160).

Almost surely, 2^{100022001100120} is an apocalyptic number.

100022001100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022001100120 is an abundant number, since it is smaller than the sum of its proper divisors (159299857736360).

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

100022001100120 is a wasteful number, since it uses less digits than its factorization.

100022001100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170534777 (or 170534773 counting only the distinct ones).

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

Adding to 100022001100120 its reverse (21001100220001), we get a palindrome (121023101320121).

The spelling of 100022001100120 in words is "one hundred trillion, twenty-two billion, one million, one hundred thousand, one hundred twenty".