2001111010002 has 48 divisors (see below), whose sum is σ = 4681777348248. Its totient is φ = 614075696640.

The previous prime is 2001111009971. The next prime is 2001111010009. The reversal of 2001111010002 is 2000101111002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1846041233481 + 155069776521 = 1358691^2 + 393789^2 .

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 (2001111010009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11376199 + ... + 11550762.

Almost surely, 2^{2001111010002} is an apocalyptic number.

2001111010002 is an abundant number, since it is smaller than the sum of its proper divisors (2680666338246).

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

2001111010002 is a wasteful number, since it uses less digits than its factorization.

2001111010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22927355 (or 22927352 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2001111010002 its reverse (2000101111002), we get a palindrome (4001212121004).

The spelling of 2001111010002 in words is "two trillion, one billion, one hundred eleven million, ten thousand, two".