2242101114000 has 320 divisors, whose sum is σ = 8761861704960. Its totient is φ = 543539520000.

The previous prime is 2242101113999. The next prime is 2242101114017. The reversal of 2242101114000 is 4111012422.

2242101114000 is a `hidden beast` number, since 2 + 242 + 10 + 1 + 11 + 400 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1293291 + ... + 2481290.

It is an arithmetic number, because the mean of its divisors is an integer number (27380817828).

Almost surely, 2^{2242101114000} is an apocalyptic number.

2242101114000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242101114000 is an abundant number, since it is smaller than the sum of its proper divisors (6519760590960).

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

2242101114000 is a wasteful number, since it uses less digits than its factorization.

2242101114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3774624 (or 3774602 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2242101114000 its reverse (4111012422), we get a palindrome (2246212126422).

The spelling of 2242101114000 in words is "two trillion, two hundred forty-two billion, one hundred one million, one hundred fourteen thousand".