2011212202120 has 96 divisors (see below), whose sum is σ = 5031515905920. Its totient is φ = 717550396160.

The previous prime is 2011212202117. The next prime is 2011212202151. The reversal of 2011212202120 is 212022121102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2011212202094 and 2011212202103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422337 + ... + 2049583.

It is an arithmetic number, because the mean of its divisors is an integer number (52411624020).

Almost surely, 2^{2011212202120} is an apocalyptic number.

2011212202120 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 2011212202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515757952960).

2011212202120 is an abundant number, since it is smaller than the sum of its proper divisors (3020303703800).

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

2011212202120 is a wasteful number, since it uses less digits than its factorization.

2011212202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627375 (or 1627318 counting only the distinct ones).

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

Adding to 2011212202120 its reverse (212022121102), we get a palindrome (2223234323222).

The spelling of 2011212202120 in words is "two trillion, eleven billion, two hundred twelve million, two hundred two thousand, one hundred twenty".