2011020100002 has 40 divisors (see below), whose sum is σ = 4743341763600. Its totient is φ = 635058977976.

The previous prime is 2011020099961. The next prime is 2011020100043. The reversal of 2011020100002 is 2000010201102.

It is an interprime number because it is at equal distance from previous prime (2011020099961) and next prime (2011020100043).

It is a super-2 number, since 2×2011020100002² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 326673352 + ... + 326679507.

It is an arithmetic number, because the mean of its divisors is an integer number (118583544090).

Almost surely, 2^{2011020100002} is an apocalyptic number.

2011020100002 is an abundant number, since it is smaller than the sum of its proper divisors (2732321663598).

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

2011020100002 is a wasteful number, since it uses less digits than its factorization.

2011020100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653352892 (or 653352883 counting only the distinct ones).

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

Adding to 2011020100002 its reverse (2000010201102), we get a palindrome (4011030301104).

The spelling of 2011020100002 in words is "two trillion, eleven billion, twenty million, one hundred thousand, two".