101202122120221 has 8 divisors (see below), whose sum is σ = 101666043489024. Its totient is φ = 100738290932160.

The previous prime is 101202122120147. The next prime is 101202122120287. The reversal of 101202122120221 is 122021221202101.

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-101202122120221 is a prime.

It is a super-4 number, since 4×101202122120221⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202122120521) 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, 20295100 + ... + 24784981.

It is an arithmetic number, because the mean of its divisors is an integer number (12708255436128).

Almost surely, 2^{101202122120221} is an apocalyptic number.

It is an amenable number.

101202122120221 is a deficient number, since it is larger than the sum of its proper divisors (463921368803).

101202122120221 is a wasteful number, since it uses less digits than its factorization.

101202122120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45090371.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 101202122120221 its reverse (122021221202101), we get a palindrome (223223343322322).

The spelling of 101202122120221 in words is "one hundred one trillion, two hundred two billion, one hundred twenty-two million, one hundred twenty thousand, two hundred twenty-one".