101221322002020 has 144 divisors (see below), whose sum is σ = 344003274433728. Its totient is φ = 23875299521280.

The previous prime is 101221322002007. The next prime is 101221322002039. The reversal of 101221322002020 is 20200223122101.

101221322002020 is a `hidden beast` number, since 10 + 1 + 221 + 32 + 200 + 202 + 0 = 666.

101221322002020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101221322001984 and 101221322002002.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 690762954 + ... + 690909473.

It is an arithmetic number, because the mean of its divisors is an integer number (2388911628012).

Almost surely, 2^{101221322002020} is an apocalyptic number.

101221322002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101221322002020 is an abundant number, since it is smaller than the sum of its proper divisors (242781952431708).

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

101221322002020 is a wasteful number, since it uses less digits than its factorization.

101221322002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381672490 (or 1381672485 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101221322002020 its reverse (20200223122101), we get a palindrome (121421545124121).

The spelling of 101221322002020 in words is "one hundred one trillion, two hundred twenty-one billion, three hundred twenty-two million, two thousand, twenty".