100000221202000 has 320 divisors, whose sum is σ = 279101184380928. Its totient is φ = 33943821120000.

The previous prime is 100000221201911. The next prime is 100000221202093. The reversal of 100000221202000 is 202122000001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7456575295 + ... + 7456588705.

Almost surely, 2^{100000221202000} is an apocalyptic number.

100000221202000 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 100000221202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139550592190464).

100000221202000 is an abundant number, since it is smaller than the sum of its proper divisors (179100963178928).

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

100000221202000 is a wasteful number, since it uses less digits than its factorization.

100000221202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18715 (or 18699 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100000221202000 its reverse (202122000001), we get a palindrome (100202343202001).

The spelling of 100000221202000 in words is "one hundred trillion, two hundred twenty-one million, two hundred two thousand".