101221210222220 has 384 divisors, whose sum is σ = 244897841664000. Its totient is φ = 34817817600000.

The previous prime is 101221210222213. The next prime is 101221210222333. The reversal of 101221210222220 is 22222012122101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101221210222192 and 101221210222201.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14566295306 + ... + 14566302254.

It is an arithmetic number, because the mean of its divisors is an integer number (637754796000).

Almost surely, 2^{101221210222220} is an apocalyptic number.

101221210222220 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 101221210222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122448920832000).

101221210222220 is an abundant number, since it is smaller than the sum of its proper divisors (143676631441780).

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

101221210222220 is a wasteful number, since it uses less digits than its factorization.

101221210222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7441 (or 7439 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 101221210222220 its reverse (22222012122101), we get a palindrome (123443222344321).

The spelling of 101221210222220 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred ten million, two hundred twenty-two thousand, two hundred twenty".