2011022202112 has 432 divisors, whose sum is σ = 5161389561216. Its totient is φ = 759545856000.

The previous prime is 2011022202001. The next prime is 2011022202113. The reversal of 2011022202112 is 2112022201102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011022202113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14678994108 + ... + 14678994244.

Almost surely, 2^{2011022202112} is an apocalyptic number.

2011022202112 is a gapful number since it is divisible by the number (22) 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 2011022202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580694780608).

2011022202112 is an abundant number, since it is smaller than the sum of its proper divisors (3150367359104).

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

2011022202112 is a wasteful number, since it uses less digits than its factorization.

2011022202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2011022202112 its reverse (2112022201102), we get a palindrome (4123044403214).

It can be divided in two parts, 20110 and 22202112, that added together give a palindrome (22222222).

The spelling of 2011022202112 in words is "two trillion, eleven billion, twenty-two million, two hundred two thousand, one hundred twelve".