100102102112211 has 32 divisors (see below), whose sum is σ = 138312437760000. Its totient is φ = 64321344490368.

The previous prime is 100102102112191. The next prime is 100102102112227. The reversal of 100102102112211 is 112211201201001.

It is a happy number.

It is not a de Polignac number, because 100102102112211 - 2¹¹ = 100102102110163 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100102102112231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150242590 + ... + 150907388.

It is an arithmetic number, because the mean of its divisors is an integer number (4322263680000).

Almost surely, 2^{100102102112211} is an apocalyptic number.

100102102112211 is a deficient number, since it is larger than the sum of its proper divisors (38210335647789).

100102102112211 is a wasteful number, since it uses less digits than its factorization.

100102102112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667843.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100102102112211 its reverse (112211201201001), we get a palindrome (212313303313212).

The spelling of 100102102112211 in words is "one hundred trillion, one hundred two billion, one hundred two million, one hundred twelve thousand, two hundred eleven".