100222102102001 has 24 divisors (see below), whose sum is σ = 114557458957536. Its totient is φ = 86948382407040.

The previous prime is 100222102101983. The next prime is 100222102102033. The reversal of 100222102102001 is 100201201222001.

It is not a de Polignac number, because 100222102102001 - 2¹⁸ = 100222101839857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100222102102201) 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, 17368655 + ... + 22407908.

It is an arithmetic number, because the mean of its divisors is an integer number (4773227456564).

Almost surely, 2^{100222102102001} is an apocalyptic number.

100222102102001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100222102102001 is a deficient number, since it is larger than the sum of its proper divisors (14335356855535).

100222102102001 is a wasteful number, since it uses less digits than its factorization.

100222102102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39777053 (or 39777030 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100222102102001 its reverse (100201201222001), we get a palindrome (200423303324002).

The spelling of 100222102102001 in words is "one hundred trillion, two hundred twenty-two billion, one hundred two million, one hundred two thousand, one".