10000001121211 has 8 divisors (see below), whose sum is σ = 10281703981248. Its totient is φ = 9720098280000.

The previous prime is 10000001121203. The next prime is 10000001121221. The reversal of 10000001121211 is 11212110000001.

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

It is a cyclic number.

It is not a de Polignac number, because 10000001121211 - 2³ = 10000001121203 is a prime.

It is a super-2 number, since 2×10000001121211² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000001121221) 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, 449993440 + ... + 450015661.

It is an arithmetic number, because the mean of its divisors is an integer number (1285212997656).

Almost surely, 2^{10000001121211} is an apocalyptic number.

10000001121211 is a deficient number, since it is larger than the sum of its proper divisors (281702860037).

10000001121211 is an equidigital number, since it uses as much as digits as its factorization.

10000001121211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900009413.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10000001121211 its reverse (11212110000001), we get a palindrome (21212111121212).

The spelling of 10000001121211 in words is "ten trillion, one million, one hundred twenty-one thousand, two hundred eleven".