101022102121201 has 4 divisors (see below), whose sum is σ = 101023686572004. Its totient is φ = 101020517670400.

The previous prime is 101022102121133. The next prime is 101022102121207. The reversal of 101022102121201 is 102121201220101.

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 86780384728801 + 14241717392400 = 9315599^2 + 3773820^2 .

It is a cyclic number.

It is not a de Polignac number, because 101022102121201 - 2¹¹ = 101022102119153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101022102121207) 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, 792129760 + ... + 792257281.

It is an arithmetic number, because the mean of its divisors is an integer number (25255921643001).

Almost surely, 2^{101022102121201} is an apocalyptic number.

It is an amenable number.

101022102121201 is a deficient number, since it is larger than the sum of its proper divisors (1584450803).

101022102121201 is an equidigital number, since it uses as much as digits as its factorization.

101022102121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584450802.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101022102121201 its reverse (102121201220101), we get a palindrome (203143303341302).

The spelling of 101022102121201 in words is "one hundred one trillion, twenty-two billion, one hundred two million, one hundred twenty-one thousand, two hundred one".