81002022101201 has 8 divisors (see below), whose sum is σ = 83331554777064. Its totient is φ = 78679873048320.

The previous prime is 81002022101173. The next prime is 81002022101207. The reversal of 81002022101201 is 10210122020018.

It can be written as a sum of positive squares in 4 ways, for example, as 21900752670976 + 59101269430225 = 4679824^2 + 7687735^2 .

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

It is not a de Polignac number, because 81002022101201 - 2⁴² = 76603975590097 is a prime.

It is a super-2 number, since 2×81002022101201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (81002022101207) 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 7 ways as a sum of consecutive naturals, for example, 1845883490 + ... + 1845927371.

It is an arithmetic number, because the mean of its divisors is an integer number (10416444347133).

Almost surely, 2^{81002022101201} is an apocalyptic number.

It is an amenable number.

81002022101201 is a deficient number, since it is larger than the sum of its proper divisors (2329532675863).

81002022101201 is a wasteful number, since it uses less digits than its factorization.

81002022101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3691811491.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 81002022101201 its reverse (10210122020018), we get a palindrome (91212144121219).

The spelling of 81002022101201 in words is "eighty-one trillion, two billion, twenty-two million, one hundred one thousand, two hundred one".