100102122112211 has 2 divisors, whose sum is σ = 100102122112212. Its totient is φ = 100102122112210.

The previous prime is 100102122112171. The next prime is 100102122112259. The reversal of 100102122112211 is 112211221201001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100102122112211 - 2³⁰ = 100101048370387 is a prime.

It is a super-3 number, since 3×100102122112211³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100102122112211.

It is not a weakly prime, because it can be changed into another prime (100102122112411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051061056105 + 50051061056106.

It is an arithmetic number, because the mean of its divisors is an integer number (50051061056106).

Almost surely, 2^{100102122112211} is an apocalyptic number.

100102122112211 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102122112211 is an equidigital number, since it uses as much as digits as its factorization.

100102122112211 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 100102122112211 its reverse (112211221201001), we get a palindrome (212313343313212).

The spelling of 100102122112211 in words is "one hundred trillion, one hundred two billion, one hundred twenty-two million, one hundred twelve thousand, two hundred eleven".