10121101221001 has 8 divisors (see below), whose sum is σ = 10716620841864. Its totient is φ = 9525599458560.

The previous prime is 10121101220987. The next prime is 10121101221019. The reversal of 10121101221001 is 10012210112101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2921538981001 + 7199562240000 = 1709251^2 + 2683200^2 .

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 10121101221001 - 2⁷ = 10121101220873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10121101221041) 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, 3288930 + ... + 5573083.

It is an arithmetic number, because the mean of its divisors is an integer number (1339577605233).

Almost surely, 2^{10121101221001} is an apocalyptic number.

It is an amenable number.

10121101221001 is a deficient number, since it is larger than the sum of its proper divisors (595519620863).

10121101221001 is an equidigital number, since it uses as much as digits as its factorization.

10121101221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8929211.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10121101221001 its reverse (10012210112101), we get a palindrome (20133311333102).

The spelling of 10121101221001 in words is "ten trillion, one hundred twenty-one billion, one hundred one million, two hundred twenty-one thousand, one".