101220120101 has 24 divisors (see below), whose sum is σ = 109583283264. Its totient is φ = 93314390400.

The previous prime is 101220120073. The next prime is 101220120109. The reversal of 101220120101 is 101021022101.

It is not a de Polignac number, because 101220120101 - 2⁶ = 101220120037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220120109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11620790 + ... + 11629496.

It is an arithmetic number, because the mean of its divisors is an integer number (4565970136).

Almost surely, 2^101220120101 is an apocalyptic number.

It is an amenable number.

101220120101 is a deficient number, since it is larger than the sum of its proper divisors (8363163163).

101220120101 is an equidigital number, since it uses as much as digits as its factorization.

101220120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9389 (or 9360 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101220120101 its reverse (101021022101), we get a palindrome (202241142202).

The spelling of 101220120101 in words is "one hundred one billion, two hundred twenty million, one hundred twenty thousand, one hundred one".