101100222101 has 4 divisors (see below), whose sum is σ = 101162902092. Its totient is φ = 101037542112.

The previous prime is 101100222071. The next prime is 101100222131. The reversal of 101100222101 is 101222001101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 101222001101 = 13 ⋅7786307777.

It is an interprime number because it is at equal distance from previous prime (101100222071) and next prime (101100222131).

It can be written as a sum of positive squares in 2 ways, for example, as 61677722500 + 39422499601 = 248350^2 + 198551^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100222101 - 2¹⁰ = 101100221077 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 (101100222131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31337576 + ... + 31340801.

It is an arithmetic number, because the mean of its divisors is an integer number (25290725523).

Almost surely, 2^101100222101 is an apocalyptic number.

It is an amenable number.

101100222101 is a deficient number, since it is larger than the sum of its proper divisors (62679991).

101100222101 is an equidigital number, since it uses as much as digits as its factorization.

101100222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62679990.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101100222101 its reverse (101222001101), we get a palindrome (202322223202).

The spelling of 101100222101 in words is "one hundred one billion, one hundred million, two hundred twenty-two thousand, one hundred one".