2001121022100 has 144 divisors (see below), whose sum is σ = 6171094774656. Its totient is φ = 498915840000.

The previous prime is 2001121022059. The next prime is 2001121022111. The reversal of 2001121022100 is 12201211002.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 529161 + ... + 2069360.

It is an arithmetic number, because the mean of its divisors is an integer number (42854824824).

Almost surely, 2^{2001121022100} is an apocalyptic number.

2001121022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001121022100 is an abundant number, since it is smaller than the sum of its proper divisors (4169973752556).

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

2001121022100 is a wasteful number, since it uses less digits than its factorization.

2001121022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598706 (or 2598699 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2001121022100 its reverse (12201211002), we get a palindrome (2013322233102).

The spelling of 2001121022100 in words is "two trillion, one billion, one hundred twenty-one million, twenty-two thousand, one hundred".