101001220120221 has 8 divisors (see below), whose sum is σ = 134668461406464. Its totient is φ = 67334062790400.

The previous prime is 101001220120193. The next prime is 101001220120249. The reversal of 101001220120221 is 122021022100101.

It is an interprime number because it is at equal distance from previous prime (101001220120193) and next prime (101001220120249).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101001220120221 - 2¹⁰ = 101001220119197 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101001220120221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001220120291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18126276 + ... + 23033981.

It is an arithmetic number, because the mean of its divisors is an integer number (16833557675808).

Almost surely, 2^{101001220120221} is an apocalyptic number.

It is an amenable number.

101001220120221 is a deficient number, since it is larger than the sum of its proper divisors (33667241286243).

101001220120221 is an equidigital number, since it uses as much as digits as its factorization.

101001220120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41978211.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101001220120221 its reverse (122021022100101), we get a palindrome (223022242220322).

The spelling of 101001220120221 in words is "one hundred one trillion, one billion, two hundred twenty million, one hundred twenty thousand, two hundred twenty-one".