100201010122201 has 16 divisors (see below), whose sum is σ = 104770643927040. Its totient is φ = 95649150934480.

The previous prime is 100201010122127. The next prime is 100201010122271. The reversal of 100201010122201 is 102221010102001.

It is a cyclic number.

It is not a de Polignac number, because 100201010122201 - 2¹¹ = 100201010120153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100201010122271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244954320 + ... + 245363038.

It is an arithmetic number, because the mean of its divisors is an integer number (6548165245440).

Almost surely, 2^{100201010122201} is an apocalyptic number.

It is an amenable number.

100201010122201 is a deficient number, since it is larger than the sum of its proper divisors (4569633804839).

100201010122201 is a wasteful number, since it uses less digits than its factorization.

100201010122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430436.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100201010122201 its reverse (102221010102001), we get a palindrome (202422020224202).

The spelling of 100201010122201 in words is "one hundred trillion, two hundred one billion, ten million, one hundred twenty-two thousand, two hundred one".