100122201000 has 192 divisors, whose sum is σ = 343051085520. Its totient is φ = 26333337600.

The previous prime is 100122200999. The next prime is 100122201017. The reversal of 100122201000 is 102221001.

It can be written as a sum of positive squares in 8 ways, for example, as 22685781924 + 77436419076 = 150618^2 + 278274^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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 47 ways as a sum of consecutive naturals, for example, 580804 + ... + 733196.

Almost surely, 2^100122201000 is an apocalyptic number.

100122201000 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 100122201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171525542760).

100122201000 is an abundant number, since it is smaller than the sum of its proper divisors (242928884520).

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

100122201000 is a wasteful number, since it uses less digits than its factorization.

100122201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152493 (or 152476 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100122201000 its reverse (102221001), we get a palindrome (100224422001).

The spelling of 100122201000 in words is "one hundred billion, one hundred twenty-two million, two hundred one thousand".