102221011101001 has 4 divisors (see below), whose sum is σ = 110084165801092. Its totient is φ = 94357856400912.

The previous prime is 102221011100993. The next prime is 102221011101037. The reversal of 102221011101001 is 100101110122201.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 46998634358025 + 55222376742976 = 6855555^2 + 7431176^2 .

It is not a de Polignac number, because 102221011101001 - 2³ = 102221011100993 is a prime.

It is a super-2 number, since 2×102221011101001² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13), and also a Moran number because the ratio is a prime number: 7863154700077 = 102221011101001 / (1 + 0 + 2 + 2 + 2 + 1 + 0 + 1 + 1 + 1 + 0 + 1 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102221011101071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3931577350026 + ... + 3931577350051.

It is an arithmetic number, because the mean of its divisors is an integer number (27521041450273).

Almost surely, 2^{102221011101001} is an apocalyptic number.

It is an amenable number.

102221011101001 is a deficient number, since it is larger than the sum of its proper divisors (7863154700091).

102221011101001 is an equidigital number, since it uses as much as digits as its factorization.

102221011101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7863154700090.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102221011101001 its reverse (100101110122201), we get a palindrome (202322121223202).

The spelling of 102221011101001 in words is "one hundred two trillion, two hundred twenty-one billion, eleven million, one hundred one thousand, one".