100102001102201 has 32 divisors (see below), whose sum is σ = 120475474183680. Its totient is φ = 81315573014016.

The previous prime is 100102001102179. The next prime is 100102001102209. The reversal of 100102001102201 is 102201100201001.

It is a cyclic number.

It is not a de Polignac number, because 100102001102201 - 2¹⁴ = 100102001085817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100102001102209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 664979195 + ... + 665129711.

It is an arithmetic number, because the mean of its divisors is an integer number (3764858568240).

Almost surely, 2^{100102001102201} is an apocalyptic number.

It is an amenable number.

100102001102201 is a deficient number, since it is larger than the sum of its proper divisors (20373473081479).

100102001102201 is a wasteful number, since it uses less digits than its factorization.

100102001102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188553.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100102001102201 its reverse (102201100201001), we get a palindrome (202303101303202).

The spelling of 100102001102201 in words is "one hundred trillion, one hundred two billion, one million, one hundred two thousand, two hundred one".