101121221022101 has 8 divisors (see below), whose sum is σ = 121649589199680. Its totient is φ = 82113472709568.

The previous prime is 101121221022083. The next prime is 101121221022161. The reversal of 101121221022101 is 101220122121101.

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 101121221022101 - 2¹⁸ = 101121220759957 is a prime.

It is a super-2 number, since 2×101121221022101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101121221022101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121221022161) 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, 380154966116 + ... + 380154966381.

It is an arithmetic number, because the mean of its divisors is an integer number (15206198649960).

Almost surely, 2^{101121221022101} is an apocalyptic number.

It is an amenable number.

101121221022101 is a deficient number, since it is larger than the sum of its proper divisors (20528368177579).

101121221022101 is an equidigital number, since it uses as much as digits as its factorization.

101121221022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760309932523.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101121221022101 its reverse (101220122121101), we get a palindrome (202341343143202).

The spelling of 101121221022101 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred twenty-one million, twenty-two thousand, one hundred one".