2001101101002 has 24 divisors (see below), whose sum is σ = 4406796416100. Its totient is φ = 656098721280.

The previous prime is 2001101100997. The next prime is 2001101101003. The reversal of 2001101101002 is 2001011011002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1907158238001 + 93942863001 = 1380999^2 + 306501^2 .

It is a super-4 number, since 4×2001101101002⁴ (a number of 50 digits) contains 4444 as substring.

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 (2001101101003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 911247127 + ... + 911249322.

Almost surely, 2^{2001101101002} is an apocalyptic number.

2001101101002 is an abundant number, since it is smaller than the sum of its proper divisors (2405695315098).

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

2001101101002 is a wasteful number, since it uses less digits than its factorization.

2001101101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822496518 (or 1822496515 counting only the distinct ones).

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

Adding to 2001101101002 its reverse (2001011011002), we get a palindrome (4002112112004).

The spelling of 2001101101002 in words is "two trillion, one billion, one hundred one million, one hundred one thousand, two".