101100202221220 has 72 divisors (see below), whose sum is σ = 222005309992704. Its totient is φ = 38670896645568.

The previous prime is 101100202221217. The next prime is 101100202221233. The reversal of 101100202221220 is 22122202001101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101100202221194 and 101100202221203.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36180237 + ... + 38874283.

It is an arithmetic number, because the mean of its divisors is an integer number (3083407083232).

Almost surely, 2^{101100202221220} is an apocalyptic number.

101100202221220 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 101100202221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111002654996352).

101100202221220 is an abundant number, since it is smaller than the sum of its proper divisors (120905107771484).

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

101100202221220 is a wasteful number, since it uses less digits than its factorization.

101100202221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697649 (or 2697624 counting only the distinct ones).

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

Adding to 101100202221220 its reverse (22122202001101), we get a palindrome (123222404222321).

The spelling of 101100202221220 in words is "one hundred one trillion, one hundred billion, two hundred two million, two hundred twenty-one thousand, two hundred twenty".