100002122200201 has 24 divisors (see below), whose sum is σ = 109068859368000. Its totient is φ = 91642612606272.

The previous prime is 100002122200181. The next prime is 100002122200217. The reversal of 100002122200201 is 102002221200001.

It is a happy number.

It is not a de Polignac number, because 100002122200201 - 2¹³ = 100002122192009 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100002122200241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1130319195 + ... + 1130407663.

It is an arithmetic number, because the mean of its divisors is an integer number (4544535807000).

Almost surely, 2^{100002122200201} is an apocalyptic number.

It is an amenable number.

100002122200201 is a deficient number, since it is larger than the sum of its proper divisors (9066737167799).

100002122200201 is a wasteful number, since it uses less digits than its factorization.

100002122200201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136753 (or 136740 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100002122200201 its reverse (102002221200001), we get a palindrome (202004343400202).

The spelling of 100002122200201 in words is "one hundred trillion, two billion, one hundred twenty-two million, two hundred thousand, two hundred one".