120022010000100 has 216 divisors, whose sum is σ = 428972784687720. Its totient is φ = 27806004080640.

The previous prime is 120022010000071. The next prime is 120022010000149. The reversal of 120022010000100 is 1000010220021.

It can be written as a sum of positive squares in 12 ways, for example, as 51320059095204 + 68701950904896 = 7163802^2 + 8288664^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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 71 ways as a sum of consecutive naturals, for example, 301515555 + ... + 301913354.

It is an arithmetic number, because the mean of its divisors is an integer number (1985985114295).

Almost surely, 2^{120022010000100} is an apocalyptic number.

120022010000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120022010000100 is an abundant number, since it is smaller than the sum of its proper divisors (308950774687620).

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

120022010000100 is a wasteful number, since it uses less digits than its factorization.

120022010000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603428959 (or 603428949 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120022010000100 its reverse (1000010220021), we get a palindrome (121022020220121).

The spelling of 120022010000100 in words is "one hundred twenty trillion, twenty-two billion, ten million, one hundred", and thus it is an aban number.