100102001100201 has 12 divisors (see below), whose sum is σ = 144596115776112. Its totient is φ = 66732665980536.

The previous prime is 100102001100163. The next prime is 100102001100203. The reversal of 100102001100201 is 102001100201001.

It is a happy number.

It is not a de Polignac number, because 100102001100201 - 2²³ = 100101992711593 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100102001100203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166468171 + ... + 167068416.

It is an arithmetic number, because the mean of its divisors is an integer number (12049676314676).

Almost surely, 2^{100102001100201} is an apocalyptic number.

It is an amenable number.

100102001100201 is a deficient number, since it is larger than the sum of its proper divisors (44494114675911).

100102001100201 is a wasteful number, since it uses less digits than its factorization.

100102001100201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333569940 (or 333569937 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100102001100201 its reverse (102001100201001), we get a palindrome (202103101301202).

The spelling of 100102001100201 in words is "one hundred trillion, one hundred two billion, one million, one hundred thousand, two hundred one".