2001100121210 has 16 divisors (see below), whose sum is σ = 3602071506600. Its totient is φ = 800419762176.

The previous prime is 2001100121201. The next prime is 2001100121219. The reversal of 2001100121210 is 121210011002.

It is an interprime number because it is at equal distance from previous prime (2001100121201) and next prime (2001100121219).

It can be written as a sum of positive squares in 4 ways, for example, as 614751651721 + 1386348469489 = 784061^2 + 1177433^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2001100121191 and 2001100121200.

It is not an unprimeable number, because it can be changed into a prime (2001100121219) 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 7 ways as a sum of consecutive naturals, for example, 2118215 + ... + 2913594.

Almost surely, 2^{2001100121210} is an apocalyptic number.

2001100121210 is a deficient number, since it is larger than the sum of its proper divisors (1600971385390).

2001100121210 is a wasteful number, since it uses less digits than its factorization.

2001100121210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5071585.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2001100121210 its reverse (121210011002), we get a palindrome (2122310132212).

The spelling of 2001100121210 in words is "two trillion, one billion, one hundred million, one hundred twenty-one thousand, two hundred ten".