100001201000 has 128 divisors (see below), whose sum is σ = 238251780000. Its totient is φ = 39280384000.

The previous prime is 100001200997. The next prime is 100001201009. The reversal of 100001201000 is 102100001.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 53221567204 + 46779633796 = 230698^2 + 216286^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (100001201009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13257230 + ... + 13264770.

Almost surely, 2^100001201000 is an apocalyptic number.

100001201000 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 100001201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119125890000).

100001201000 is an abundant number, since it is smaller than the sum of its proper divisors (138250579000).

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

100001201000 is a wasteful number, since it uses less digits than its factorization.

100001201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7800 (or 7786 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 100001201000 its reverse (102100001), we get a palindrome (100103301001).

The spelling of 100001201000 in words is "one hundred billion, one million, two hundred one thousand".