101221212221220 has 384 divisors, whose sum is σ = 352285302620160. Its totient is φ = 21144727296000.

The previous prime is 101221212221219. The next prime is 101221212221221. The reversal of 101221212221220 is 22122212122101.

It is an interprime number because it is at equal distance from previous prime (101221212221219) and next prime (101221212221221).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (101221212221221) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3093636021 + ... + 3093668739.

It is an arithmetic number, because the mean of its divisors is an integer number (917409642240).

Almost surely, 2^{101221212221220} is an apocalyptic number.

101221212221220 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 101221212221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176142651310080).

101221212221220 is an abundant number, since it is smaller than the sum of its proper divisors (251064090398940).

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

101221212221220 is a wasteful number, since it uses less digits than its factorization.

101221212221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38355 (or 38353 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 101221212221220 its reverse (22122212122101), we get a palindrome (123343424343321).

The spelling of 101221212221220 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred twelve million, two hundred twenty-one thousand, two hundred twenty".