101221200001020 has 192 divisors, whose sum is σ = 312315567782400. Its totient is φ = 24290103936000.

The previous prime is 101221200001013. The next prime is 101221200001027. The reversal of 101221200001020 is 20100002122101.

It is an interprime number because it is at equal distance from previous prime (101221200001013) and next prime (101221200001027).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101221200000987 and 101221200001005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221200001027) 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 63 ways as a sum of consecutive naturals, for example, 303069439 + ... + 303403241.

It is an arithmetic number, because the mean of its divisors is an integer number (1626643582200).

Almost surely, 2^{101221200001020} is an apocalyptic number.

101221200001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101221200001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156157783891200).

101221200001020 is an abundant number, since it is smaller than the sum of its proper divisors (211094367781380).

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

101221200001020 is a wasteful number, since it uses less digits than its factorization.

101221200001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338476 (or 338474 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101221200001020 its reverse (20100002122101), we get a palindrome (121321202123121).

The spelling of 101221200001020 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred million, one thousand, twenty".