100011020221000 has 576 divisors, whose sum is σ = 287410159960560. Its totient is φ = 32473056000000.

The previous prime is 100011020220967. The next prime is 100011020221009. The reversal of 100011020221000 is 122020110001.

It can be written as a sum of positive squares in 8 ways, for example, as 16307075392804 + 83703944828196 = 4038202^2 + 9148986^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100011020221009) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2618001900 + ... + 2618040100.

Almost surely, 2^{100011020221000} is an apocalyptic number.

100011020221000 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 100011020221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143705079980280).

100011020221000 is an abundant number, since it is smaller than the sum of its proper divisors (187399139739560).

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

100011020221000 is a wasteful number, since it uses less digits than its factorization.

100011020221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38383 (or 38339 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100011020221000 its reverse (122020110001), we get a palindrome (100133040331001).

The spelling of 100011020221000 in words is "one hundred trillion, eleven billion, twenty million, two hundred twenty-one thousand".