2011020221142 has 144 divisors (see below), whose sum is σ = 4694267328192. Its totient is φ = 622013495040.

The previous prime is 2011020221141. The next prime is 2011020221173. The reversal of 2011020221142 is 2411220201102.

2011020221142 is a `hidden beast` number, since 201 + 10 + 202 + 211 + 42 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011020221141) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117436993 + ... + 117454115.

It is an arithmetic number, because the mean of its divisors is an integer number (32599078668).

Almost surely, 2^{2011020221142} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011020221142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347133664096).

2011020221142 is an abundant number, since it is smaller than the sum of its proper divisors (2683247107050).

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

2011020221142 is a wasteful number, since it uses less digits than its factorization.

2011020221142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17483 (or 17463 counting only the distinct ones).

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

Adding to 2011020221142 its reverse (2411220201102), we get a palindrome (4422240422244).

The spelling of 2011020221142 in words is "two trillion, eleven billion, twenty million, two hundred twenty-one thousand, one hundred forty-two".