100222201012201 has 16 divisors (see below), whose sum is σ = 106601219124624. Its totient is φ = 93897649833984.

The previous prime is 100222201012183. The next prime is 100222201012247. The reversal of 100222201012201 is 102210102222001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 25127151264601 + 75095049747600 = 5012699^2 + 8665740^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100222201012201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100222201012001) 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, 7103100 + ... + 15839773.

It is an arithmetic number, because the mean of its divisors is an integer number (6662576195289).

Almost surely, 2^{100222201012201} is an apocalyptic number.

It is an amenable number.

100222201012201 is a deficient number, since it is larger than the sum of its proper divisors (6379018112423).

100222201012201 is a wasteful number, since it uses less digits than its factorization.

100222201012201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22944060.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100222201012201 its reverse (102210102222001), we get a palindrome (202432303234202).

The spelling of 100222201012201 in words is "one hundred trillion, two hundred twenty-two billion, two hundred one million, twelve thousand, two hundred one".