10201121221101 has 16 divisors (see below), whose sum is σ = 13984652951808. Its totient is φ = 6610392633600.

The previous prime is 10201121221091. The next prime is 10201121221127. The reversal of 10201121221101 is 10112212110201.

It is a happy number.

10201121221101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10201121221101 - 2²⁵ = 10201087666669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201121221201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152985016 + ... + 153051681.

It is an arithmetic number, because the mean of its divisors is an integer number (874040809488).

Almost surely, 2^{10201121221101} is an apocalyptic number.

It is an amenable number.

10201121221101 is a deficient number, since it is larger than the sum of its proper divisors (3783531730707).

10201121221101 is a wasteful number, since it uses less digits than its factorization.

10201121221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306037012.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10201121221101 its reverse (10112212110201), we get a palindrome (20313333331302).

The spelling of 10201121221101 in words is "ten trillion, two hundred one billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred one".