100102001122201 has 16 divisors (see below), whose sum is σ = 107920614081280. Its totient is φ = 92300335142400.

The previous prime is 100102001122177. The next prime is 100102001122219. The reversal of 100102001122201 is 102221100201001.

It is a cyclic number.

It is not a de Polignac number, because 100102001122201 - 2¹¹ = 100102001120153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (100102001128201) 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, 99356026 + ... + 100358476.

It is an arithmetic number, because the mean of its divisors is an integer number (6745038380080).

Almost surely, 2^{100102001122201} is an apocalyptic number.

It is an amenable number.

100102001122201 is a deficient number, since it is larger than the sum of its proper divisors (7818612959079).

100102001122201 is a wasteful number, since it uses less digits than its factorization.

100102001122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010896.

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

Adding to 100102001122201 its reverse (102221100201001), we get a palindrome (202323101323202).

The spelling of 100102001122201 in words is "one hundred trillion, one hundred two billion, one million, one hundred twenty-two thousand, two hundred one".