100200201001000 has 64 divisors (see below), whose sum is σ = 234661769531280. Its totient is φ = 40047037804800.

The previous prime is 100200201000901. The next prime is 100200201001151. The reversal of 100200201001000 is 100102002001.

It can be written as a sum of positive squares in 8 ways, for example, as 489151967236 + 99711049033764 = 699394^2 + 9985542^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40089639 + ... + 42515638.

Almost surely, 2^{100200201001000} is an apocalyptic number.

100200201001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200201001000 is an abundant number, since it is smaller than the sum of its proper divisors (134461568530280).

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

100200201001000 is a wasteful number, since it uses less digits than its factorization.

100200201001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82606511 (or 82606497 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100200201001000 its reverse (100102002001), we get a palindrome (100300303003001).

The spelling of 100200201001000 in words is "one hundred trillion, two hundred billion, two hundred one million, one thousand".