2011022222000 has 160 divisors (see below), whose sum is σ = 5312947521024. Its totient is φ = 730145376000.

The previous prime is 2011022221939. The next prime is 2011022222089. The reversal of 2011022222000 is 2222201102.

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 31 ways as a sum of consecutive naturals, for example, 14163359 + ... + 14304641.

Almost surely, 2^{2011022222000} is an apocalyptic number.

2011022222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011022222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656473760512).

2011022222000 is an abundant number, since it is smaller than the sum of its proper divisors (3301925299024).

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

2011022222000 is a wasteful number, since it uses less digits than its factorization.

2011022222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141964 (or 141948 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2011022222000 its reverse (2222201102), we get a palindrome (2013244423102).

It can be divided in two parts, 201 and 1022222000, that added together give a palindrome (1022222201).

The spelling of 2011022222000 in words is "two trillion, eleven billion, twenty-two million, two hundred twenty-two thousand".