120221000101001 has 8 divisors (see below), whose sum is σ = 127320732690984. Its totient is φ = 113124368517120.

The previous prime is 120221000100997. The next prime is 120221000101021. The reversal of 120221000101001 is 100101000122021.

It can be written as a sum of positive squares in 4 ways, for example, as 25922353960000 + 94298646141001 = 5091400^2 + 9710749^2 .

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 120221000101001 - 2² = 120221000100997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120221000101021) 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, 775171700 + ... + 775326773.

It is an arithmetic number, because the mean of its divisors is an integer number (15915091586373).

Almost surely, 2^{120221000101001} is an apocalyptic number.

It is an amenable number.

120221000101001 is a deficient number, since it is larger than the sum of its proper divisors (7099732589983).

120221000101001 is a wasteful number, since it uses less digits than its factorization.

120221000101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550503051.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120221000101001 its reverse (100101000122021), we get a palindrome (220322000223022).

The spelling of 120221000101001 in words is "one hundred twenty trillion, two hundred twenty-one billion, one hundred one thousand, one".