2001022010103 has 32 divisors (see below), whose sum is σ = 2827807580160. Its totient is φ = 1256007725280.

The previous prime is 2001022010087. The next prime is 2001022010129. The reversal of 2001022010103 is 3010102201002.

It is not a de Polignac number, because 2001022010103 - 2⁴ = 2001022010087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001022011103) 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 31 ways as a sum of consecutive naturals, for example, 2702550 + ... + 3362412.

It is an arithmetic number, because the mean of its divisors is an integer number (88368986880).

Almost surely, 2^{2001022010103} is an apocalyptic number.

2001022010103 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2001022010103 is a deficient number, since it is larger than the sum of its proper divisors (826785570057).

2001022010103 is a wasteful number, since it uses less digits than its factorization.

2001022010103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660579.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2001022010103 its reverse (3010102201002), we get a palindrome (5011124211105).

The spelling of 2001022010103 in words is "two trillion, one billion, twenty-two million, ten thousand, one hundred three".