2001022010109 has 24 divisors (see below), whose sum is σ = 2892767567040. Its totient is φ = 1332906225408.

The previous prime is 2001022010087. The next prime is 2001022010129. The reversal of 2001022010109 is 9010102201002.

It is not a de Polignac number, because 2001022010109 - 2⁷ = 2001022009981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001022010091 and 2001022010100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001022010129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85330624 + ... + 85354070.

It is an arithmetic number, because the mean of its divisors is an integer number (120531981960).

Almost surely, 2^{2001022010109} is an apocalyptic number.

It is an amenable number.

2001022010109 is a deficient number, since it is larger than the sum of its proper divisors (891745556931).

2001022010109 is a wasteful number, since it uses less digits than its factorization.

2001022010109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30929 (or 30926 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 2001022010109 in words is "two trillion, one billion, twenty-two million, ten thousand, one hundred nine".