101120221202221 has 8 divisors (see below), whose sum is σ = 115304505624504. Its totient is φ = 87851051904000.

The previous prime is 101120221202179. The next prime is 101120221202249. The reversal of 101120221202221 is 122202122021101.

It can be written as a sum of positive squares in 4 ways, for example, as 11384652033225 + 89735569168996 = 3374115^2 + 9472886^2 .

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 101120221202221 - 2⁹ = 101120221201709 is a prime.

It is a super-3 number, since 3×101120221202221³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120221202621) 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, 228778780780 + ... + 228778781221.

It is an arithmetic number, because the mean of its divisors is an integer number (14413063203063).

Almost surely, 2^{101120221202221} is an apocalyptic number.

It is an amenable number.

101120221202221 is a deficient number, since it is larger than the sum of its proper divisors (14184284422283).

101120221202221 is a wasteful number, since it uses less digits than its factorization.

101120221202221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457557562031.

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

Adding to 101120221202221 its reverse (122202122021101), we get a palindrome (223322343223322).

The spelling of 101120221202221 in words is "one hundred one trillion, one hundred twenty billion, two hundred twenty-one million, two hundred two thousand, two hundred twenty-one".