10121211211101 has 8 divisors (see below), whose sum is σ = 13521992268000. Its totient is φ = 6733952147472.

The previous prime is 10121211211063. The next prime is 10121211211123. The reversal of 10121211211101 is 10111211212101.

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

It is not a de Polignac number, because 10121211211101 - 2²² = 10121207016797 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121211251101) 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, 3380496570 + ... + 3380499563.

It is an arithmetic number, because the mean of its divisors is an integer number (1690249033500).

Almost surely, 2^{10121211211101} is an apocalyptic number.

It is an amenable number.

10121211211101 is a deficient number, since it is larger than the sum of its proper divisors (3400781056899).

10121211211101 is an equidigital number, since it uses as much as digits as its factorization.

10121211211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6760996635.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 10121211211101 its reverse (10111211212101), we get a palindrome (20232422423202).

It can be divided in two parts, 1012121 and 1211101, that added together give a palindrome (2223222).

The spelling of 10121211211101 in words is "ten trillion, one hundred twenty-one billion, two hundred eleven million, two hundred eleven thousand, one hundred one".