101102021222201 has 8 divisors (see below), whose sum is σ = 110740550629320. Its totient is φ = 91873642002688.

The previous prime is 101102021222179. The next prime is 101102021222203. The reversal of 101102021222201 is 102222120201101.

It can be written as a sum of positive squares in 4 ways, for example, as 53487867331600 + 47614153890601 = 7313540^2 + 6900301^2 .

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-101102021222201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101102021222201.

It is not an unprimeable number, because it can be changed into a prime (101102021222203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102537546386 + ... + 102537547371.

It is an arithmetic number, because the mean of its divisors is an integer number (13842568828665).

Almost surely, 2^{101102021222201} is an apocalyptic number.

It is an amenable number.

101102021222201 is a deficient number, since it is larger than the sum of its proper divisors (9638529407119).

101102021222201 is a wasteful number, since it uses less digits than its factorization.

101102021222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205075093803.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101102021222201 its reverse (102222120201101), we get a palindrome (203324141423302).

The spelling of 101102021222201 in words is "one hundred one trillion, one hundred two billion, twenty-one million, two hundred twenty-two thousand, two hundred one".