10221111100101 has 16 divisors (see below), whose sum is σ = 15513465070080. Its totient is φ = 5925281796720.

The previous prime is 10221111100091. The next prime is 10221111100159. The reversal of 10221111100101 is 10100111112201.

It is not a de Polignac number, because 10221111100101 - 2⁷ = 10221111099973 is a prime.

It is a super-2 number, since 2×10221111100101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221111100001) 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, 6733274011 + ... + 6733275528.

It is an arithmetic number, because the mean of its divisors is an integer number (969591566880).

Almost surely, 2^{10221111100101} is an apocalyptic number.

10221111100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10221111100101 is a deficient number, since it is larger than the sum of its proper divisors (5292353969979).

10221111100101 is a wasteful number, since it uses less digits than its factorization.

10221111100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13466549576.

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

Adding to 10221111100101 its reverse (10100111112201), we get a palindrome (20321222212302).

It can be divided in two parts, 1022111 and 1100101, that added together give a palindrome (2122212).

The spelling of 10221111100101 in words is "ten trillion, two hundred twenty-one billion, one hundred eleven million, one hundred thousand, one hundred one".