102220202101121 has 8 divisors (see below), whose sum is σ = 111057483019560. Its totient is φ = 93522090961152.

The previous prime is 102220202101117. The next prime is 102220202101151. The reversal of 102220202101121 is 121101202022201.

It can be written as a sum of positive squares in 4 ways, for example, as 5405327404096 + 96814874697025 = 2324936^2 + 9839455^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 102220202101121 - 2² = 102220202101117 is a prime.

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 102220202101121.

It is not an unprimeable number, because it can be changed into a prime (102220202101151) 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, 34792443086 + ... + 34792446023.

It is an arithmetic number, because the mean of its divisors is an integer number (13882185377445).

Almost surely, 2^{102220202101121} is an apocalyptic number.

It is an amenable number.

102220202101121 is a deficient number, since it is larger than the sum of its proper divisors (8837280918439).

102220202101121 is a wasteful number, since it uses less digits than its factorization.

102220202101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69584889235.

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

Adding to 102220202101121 its reverse (121101202022201), we get a palindrome (223321404123322).

The spelling of 102220202101121 in words is "one hundred two trillion, two hundred twenty billion, two hundred two million, one hundred one thousand, one hundred twenty-one".