2001010210100 has 72 divisors (see below), whose sum is σ = 4773097064736. Its totient is φ = 722085520000.

The previous prime is 2001010210061. The next prime is 2001010210123. The reversal of 2001010210100 is 10120101002.

It is a super-2 number, since 2×2001010210100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6799031 + ... + 7087230.

It is an arithmetic number, because the mean of its divisors is an integer number (66293014788).

Almost surely, 2^{2001010210100} is an apocalyptic number.

2001010210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001010210100 is an abundant number, since it is smaller than the sum of its proper divisors (2772086854636).

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

2001010210100 is a wasteful number, since it uses less digits than its factorization.

2001010210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13886417 (or 13886410 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2001010210100 its reverse (10120101002), we get a palindrome (2011130311102).

The spelling of 2001010210100 in words is "two trillion, one billion, ten million, two hundred ten thousand, one hundred".