101221022120 has 16 divisors (see below), whose sum is σ = 227747299860. Its totient is φ = 40488408832.

The previous prime is 101221022093. The next prime is 101221022173. The reversal of 101221022120 is 21220122101.

It can be written as a sum of positive squares in 2 ways, for example, as 99261543364 + 1959478756 = 315058^2 + 44266^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101221022095 and 101221022104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1265262737 + ... + 1265262816.

Almost surely, 2^101221022120 is an apocalyptic number.

101221022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221022120 is an abundant number, since it is smaller than the sum of its proper divisors (126526277740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101221022120 is a wasteful number, since it uses less digits than its factorization.

101221022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530525564 (or 2530525560 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101221022120 its reverse (21220122101), we get a palindrome (122441144221).

The spelling of 101221022120 in words is "one hundred one billion, two hundred twenty-one million, twenty-two thousand, one hundred twenty".