101222211101101 has 8 divisors (see below), whose sum is σ = 101252709294264. Its totient is φ = 101191714821120.

The previous prime is 101222211101051. The next prime is 101222211101117. The reversal of 101222211101101 is 101101112222101.

It can be written as a sum of positive squares in 4 ways, for example, as 65010340284201 + 36211870816900 = 8062899^2 + 6017630^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101222211101101 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 (101222211101131) 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, 109122411 + ... + 110046103.

It is an arithmetic number, because the mean of its divisors is an integer number (12656588661783).

Almost surely, 2^{101222211101101} is an apocalyptic number.

It is an amenable number.

101222211101101 is a deficient number, since it is larger than the sum of its proper divisors (30498193163).

101222211101101 is an equidigital number, since it uses as much as digits as its factorization.

101222211101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956591.

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

Adding to 101222211101101 its reverse (101101112222101), we get a palindrome (202323323323202).

The spelling of 101222211101101 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred eleven million, one hundred one thousand, one hundred one".