100122022222020 has 60 divisors (see below), whose sum is σ = 314086491938604. Its totient is φ = 26699205925440.

The previous prime is 100122022222003. The next prime is 100122022222067. The reversal of 100122022222020 is 20222220221001.

100122022222020 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 220 + 222 + 220 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12661968589956 + 87460053632064 = 3558366^2 + 9352008^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100122022221984 and 100122022222002.

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 19 ways as a sum of consecutive naturals, for example, 30901857091 + ... + 30901860330.

Almost surely, 2^{100122022222020} is an apocalyptic number.

100122022222020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122022222020 is an abundant number, since it is smaller than the sum of its proper divisors (213964469716584).

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

100122022222020 is a wasteful number, since it uses less digits than its factorization.

100122022222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61803717442 (or 61803717431 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100122022222020 its reverse (20222220221001), we get a palindrome (120344242443021).

The spelling of 100122022222020 in words is "one hundred trillion, one hundred twenty-two billion, twenty-two million, two hundred twenty-two thousand, twenty".