101221201002220 has 96 divisors (see below), whose sum is σ = 231366380414400. Its totient is φ = 36974901648384.

The previous prime is 101221201002203. The next prime is 101221201002227. The reversal of 101221201002220 is 22200102122101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101221201002194 and 101221201002203.

It is not an unprimeable number, because it can be changed into a prime (101221201002227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15966142 + ... + 21385978.

It is an arithmetic number, because the mean of its divisors is an integer number (2410066462650).

Almost surely, 2^{101221201002220} is an apocalyptic number.

101221201002220 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 101221201002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115683190207200).

101221201002220 is an abundant number, since it is smaller than the sum of its proper divisors (130145179412180).

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

101221201002220 is a wasteful number, since it uses less digits than its factorization.

101221201002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5420627 (or 5420625 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101221201002220 its reverse (22200102122101), we get a palindrome (123421303124321).

The spelling of 101221201002220 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred one million, two thousand, two hundred twenty".