100100221201000 has 64 divisors (see below), whose sum is σ = 234244980225360. Its totient is φ = 40038300000000.

The previous prime is 100100221200961. The next prime is 100100221201003. The reversal of 100100221201000 is 102122001001.

It can be written as a sum of positive squares in 8 ways, for example, as 33868977926436 + 66231243274564 = 5819706^2 + 8138258^2 .

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 (100100221201003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20276650 + ... + 24725350.

Almost surely, 2^{100100221201000} is an apocalyptic number.

100100221201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100221201000 is an abundant number, since it is smaller than the sum of its proper divisors (134144759024360).

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

100100221201000 is a wasteful number, since it uses less digits than its factorization.

100100221201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471223 (or 4471209 counting only the distinct ones).

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

Adding to 100100221201000 its reverse (102122001001), we get a palindrome (100202343202001).

The spelling of 100100221201000 in words is "one hundred trillion, one hundred billion, two hundred twenty-one million, two hundred one thousand".