101201201001221 has 8 divisors (see below), whose sum is σ = 105727441131000. Its totient is φ = 96744063774400.

The previous prime is 101201201001211. The next prime is 101201201001233. The reversal of 101201201001221 is 122100102102101.

It can be written as a sum of positive squares in 4 ways, for example, as 70295228850625 + 30905972150596 = 8384225^2 + 5559314^2 .

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 101201201001221 - 2⁶ = 101201201001157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101201201001196 and 101201201001205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201201001211) 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 7 ways as a sum of consecutive naturals, for example, 17275722746 + ... + 17275728603.

It is an arithmetic number, because the mean of its divisors is an integer number (13215930141375).

Almost surely, 2^{101201201001221} is an apocalyptic number.

It is an amenable number.

101201201001221 is a deficient number, since it is larger than the sum of its proper divisors (4526240129779).

101201201001221 is a wasteful number, since it uses less digits than its factorization.

101201201001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34551451479.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101201201001221 its reverse (122100102102101), we get a palindrome (223301303103322).

The spelling of 101201201001221 in words is "one hundred one trillion, two hundred one billion, two hundred one million, one thousand, two hundred twenty-one".