2011000120002 has 128 divisors (see below), whose sum is σ = 4811917017600. Its totient is φ = 620226201600.

The previous prime is 2011000119991. The next prime is 2011000120009. The reversal of 2011000120002 is 2000210001102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2011000120009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116971227 + ... + 116988417.

It is an arithmetic number, because the mean of its divisors is an integer number (37593101700).

Almost surely, 2^{2011000120002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011000120002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405958508800).

2011000120002 is an abundant number, since it is smaller than the sum of its proper divisors (2800916897598).

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

2011000120002 is a wasteful number, since it uses less digits than its factorization.

2011000120002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19369 (or 19363 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2011000120002 its reverse (2000210001102), we get a palindrome (4011210121104).

The spelling of 2011000120002 in words is "two trillion, eleven billion, one hundred twenty thousand, two".