2001101001107 has 32 divisors (see below), whose sum is σ = 2258357735424. Its totient is φ = 1760430672000.

The previous prime is 2001101001103. The next prime is 2001101001143. The reversal of 2001101001107 is 7011001011002.

It is not a de Polignac number, because 2001101001107 - 2² = 2001101001103 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001101001091 and 2001101001100.

It is not an unprimeable number, because it can be changed into a prime (2001101001103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133836482 + ... + 133851432.

It is an arithmetic number, because the mean of its divisors is an integer number (70573679232).

Almost surely, 2^{2001101001107} is an apocalyptic number.

2001101001107 is a deficient number, since it is larger than the sum of its proper divisors (257256734317).

2001101001107 is a wasteful number, since it uses less digits than its factorization.

2001101001107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20019.

The product of its (nonzero) digits is 14, while the sum is 14.

Adding to 2001101001107 its reverse (7011001011002), we get a palindrome (9012102012109).

The spelling of 2001101001107 in words is "two trillion, one billion, one hundred one million, one thousand, one hundred seven".