2011010120000 has 280 divisors, whose sum is σ = 5704106301696. Its totient is φ = 688875264000.

The previous prime is 2011010119949. The next prime is 2011010120003. The reversal of 2011010120000 is 210101102.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-3 number, since 3×2011010120000³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 2011010120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011010120003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 406837529 + ... + 406842471.

Almost surely, 2^{2011010120000} is an apocalyptic number.

2011010120000 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 2011010120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852053150848).

2011010120000 is an abundant number, since it is smaller than the sum of its proper divisors (3693096181696).

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

2011010120000 is an equidigital number, since it uses as much as digits as its factorization.

2011010120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6435 (or 6410 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2011010120000 its reverse (210101102), we get a palindrome (2011220221102).

The spelling of 2011010120000 in words is "two trillion, eleven billion, ten million, one hundred twenty thousand".