2011020220000 has 480 divisors, whose sum is σ = 5611503744000. Its totient is φ = 702585600000.

The previous prime is 2011020219979. The next prime is 2011020220039. The reversal of 2011020220000 is 220201102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1016179011 + ... + 1016180989.

It is an arithmetic number, because the mean of its divisors is an integer number (11690632800).

Almost surely, 2^{2011020220000} is an apocalyptic number.

2011020220000 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 2011020220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2805751872000).

2011020220000 is an abundant number, since it is smaller than the sum of its proper divisors (3600483524000).

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

2011020220000 is a wasteful number, since it uses less digits than its factorization.

2011020220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2011020220000 its reverse (220201102), we get a palindrome (2011240421102).

It can be divided in two parts, 201 and 1020220000, that added together give a palindrome (1020220201).

The spelling of 2011020220000 in words is "two trillion, eleven billion, twenty million, two hundred twenty thousand".