1000212210101 has 8 divisors (see below), whose sum is σ = 1077199064760. Its totient is φ = 923232134592.

The previous prime is 1000212210059. The next prime is 1000212210121. The reversal of 1000212210101 is 1010122120001.

It can be written as a sum of positive squares in 4 ways, for example, as 960070225 + 999252139876 = 30985^2 + 999626^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000212210101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000212210121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1386266 + ... + 1980443.

It is an arithmetic number, because the mean of its divisors is an integer number (134649883095).

Almost surely, 2^{1000212210101} is an apocalyptic number.

It is an amenable number.

1000212210101 is a deficient number, since it is larger than the sum of its proper divisors (76986854659).

1000212210101 is a wasteful number, since it uses less digits than its factorization.

1000212210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389575.

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

Adding to 1000212210101 its reverse (1010122120001), we get a palindrome (2010334330102).

The spelling of 1000212210101 in words is "one trillion, two hundred twelve million, two hundred ten thousand, one hundred one".