1000121212101 has 32 divisors (see below), whose sum is σ = 1460426112000. Its totient is φ = 603758825600.

The previous prime is 1000121212099. The next prime is 1000121212133. The reversal of 1000121212101 is 1012121210001.

It is a cyclic number.

It is not a de Polignac number, because 1000121212101 - 2¹ = 1000121212099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000121212171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27791746 + ... + 27827708.

It is an arithmetic number, because the mean of its divisors is an integer number (45638316000).

Almost surely, 2^{1000121212101} is an apocalyptic number.

1000121212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000121212101 is a deficient number, since it is larger than the sum of its proper divisors (460304899899).

1000121212101 is a wasteful number, since it uses less digits than its factorization.

1000121212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39257.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1000121212101 its reverse (1012121210001), we get a palindrome (2012242422102).

The spelling of 1000121212101 in words is "one trillion, one hundred twenty-one million, two hundred twelve thousand, one hundred one".