2001010221100 has 288 divisors, whose sum is σ = 4839005283840. Its totient is φ = 712191744000.

The previous prime is 2001010221097. The next prime is 2001010221157. The reversal of 2001010221100 is 11220101002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6045347935 + ... + 6045348265.

It is an arithmetic number, because the mean of its divisors is an integer number (16802101680).

Almost surely, 2^{2001010221100} is an apocalyptic number.

2001010221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001010221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419502641920).

2001010221100 is an abundant number, since it is smaller than the sum of its proper divisors (2837995062740).

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

2001010221100 is a wasteful number, since it uses less digits than its factorization.

2001010221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2001010221100 its reverse (11220101002), we get a palindrome (2012230322102).

The spelling of 2001010221100 in words is "two trillion, one billion, ten million, two hundred twenty-one thousand, one hundred".