10020221220100 has 144 divisors (see below), whose sum is σ = 26775108033408. Its totient is φ = 3169645839360.

The previous prime is 10020221220089. The next prime is 10020221220151. The reversal of 10020221220100 is 102212202001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17952432 + ... + 18502168.

It is an arithmetic number, because the mean of its divisors is an integer number (185938250232).

Almost surely, 2^{10020221220100} is an apocalyptic number.

10020221220100 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 10020221220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13387554016704).

10020221220100 is an abundant number, since it is smaller than the sum of its proper divisors (16754886813308).

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

10020221220100 is a wasteful number, since it uses less digits than its factorization.

10020221220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551774 (or 551767 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10020221220100 its reverse (102212202001), we get a palindrome (10122433422101).

The spelling of 10020221220100 in words is "ten trillion, twenty billion, two hundred twenty-one million, two hundred twenty thousand, one hundred".