2000100011221 has 10 divisors (see below), whose sum is σ = 2166769207342. Its totient is φ = 1846246137840.

The previous prime is 2000100011209. The next prime is 2000100011249. The reversal of 2000100011221 is 1221100010002.

It can be written as a sum of positive squares in 5 ways, for example, as 1543818675025 + 456281336196 = 1242505^2 + 675486^2 .

It is not a de Polignac number, because 2000100011221 - 2¹⁹ = 2000099486933 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2000100011198 and 2000100011207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000100011281) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 34985970 + ... + 35043091.

Almost surely, 2^{2000100011221} is an apocalyptic number.

It is an amenable number.

2000100011221 is a deficient number, since it is larger than the sum of its proper divisors (166669196121).

2000100011221 is an frugal number, since it uses more digits than its factorization.

2000100011221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70029113 (or 70029074 counting only the distinct ones).

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

Adding to 2000100011221 its reverse (1221100010002), we get a palindrome (3221200021223).

The spelling of 2000100011221 in words is "two trillion, one hundred million, eleven thousand, two hundred twenty-one".