10121121221101 has 8 divisors (see below), whose sum is σ = 11150542192608. Its totient is φ = 9109920090000.

The previous prime is 10121121221017. The next prime is 10121121221149. The reversal of 10121121221101 is 10112212112101.

10121121221101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10121121221101 - 2⁹ = 10121121220589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121121221201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4554958935 + ... + 4554961156.

It is an arithmetic number, because the mean of its divisors is an integer number (1393817774076).

Almost surely, 2^{10121121221101} is an apocalyptic number.

10121121221101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10121121221101 is a deficient number, since it is larger than the sum of its proper divisors (1029420971507).

10121121221101 is a wasteful number, since it uses less digits than its factorization.

10121121221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9109920203.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 10121121221101 its reverse (10112212112101), we get a palindrome (20233333333202).

It can be divided in two parts, 101211 and 21221101, that added together give a palindrome (21322312).

The spelling of 10121121221101 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred one".