10221110011101 has 64 divisors (see below), whose sum is σ = 16048282982400. Its totient is φ = 5720911257600.

The previous prime is 10221110011039. The next prime is 10221110011157. The reversal of 10221110011101 is 10111001112201.

10221110011101 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 10221110011101 - 2⁶ = 10221110011037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221110012101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2672125 + ... + 5251901.

It is an arithmetic number, because the mean of its divisors is an integer number (250754421600).

Almost surely, 2^{10221110011101} is an apocalyptic number.

10221110011101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10221110011101 is a deficient number, since it is larger than the sum of its proper divisors (5827172971299).

10221110011101 is a wasteful number, since it uses less digits than its factorization.

10221110011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579970.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10221110011101 its reverse (10111001112201), we get a palindrome (20332111123302).

It can be divided in two parts, 102211100 and 11101, that added together give a palindrome (102222201).

The spelling of 10221110011101 in words is "ten trillion, two hundred twenty-one billion, one hundred ten million, eleven thousand, one hundred one".