100102201222101 has 16 divisors (see below), whose sum is σ = 143736694281600. Its totient is φ = 61601268790080.

The previous prime is 100102201222081. The next prime is 100102201222103. The reversal of 100102201222101 is 101222102201001.

It is not a de Polignac number, because 100102201222101 - 2¹⁷ = 100102201091029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102201222103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37497016 + ... + 40077806.

It is an arithmetic number, because the mean of its divisors is an integer number (8983543392600).

Almost surely, 2^{100102201222101} is an apocalyptic number.

It is an amenable number.

100102201222101 is a deficient number, since it is larger than the sum of its proper divisors (43634493059499).

100102201222101 is a wasteful number, since it uses less digits than its factorization.

100102201222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3575356.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100102201222101 its reverse (101222102201001), we get a palindrome (201324303423102).

The spelling of 100102201222101 in words is "one hundred trillion, one hundred two billion, two hundred one million, two hundred twenty-two thousand, one hundred one".