2220101122000 has 40 divisors (see below), whose sum is σ = 5368204517832. Its totient is φ = 888040448000.

The previous prime is 2220101121991. The next prime is 2220101122013. The reversal of 2220101122000 is 2211010222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 53340673936 + 2166760448064 = 230956^2 + 1471992^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 555023281 + ... + 555027280.

Almost surely, 2^{2220101122000} is an apocalyptic number.

2220101122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220101122000 is an abundant number, since it is smaller than the sum of its proper divisors (3148103395832).

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

2220101122000 is a wasteful number, since it uses less digits than its factorization.

2220101122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110050584 (or 1110050568 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2220101122000 its reverse (2211010222), we get a palindrome (2222312132222).

The spelling of 2220101122000 in words is "two trillion, two hundred twenty billion, one hundred one million, one hundred twenty-two thousand".