100212112210201 has 2 divisors, whose sum is σ = 100212112210202. Its totient is φ = 100212112210200.

The previous prime is 100212112210183. The next prime is 100212112210237. The reversal of 100212112210201 is 102012211212001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82922441342976 + 17289670867225 = 9106176^2 + 4158085^2 .

It is a cyclic number.

It is not a de Polignac number, because 100212112210201 - 2¹⁹ = 100212111685913 is a prime.

It is not a weakly prime, because it can be changed into another prime (100212112210261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106056105100 + 50106056105101.

It is an arithmetic number, because the mean of its divisors is an integer number (50106056105101).

Almost surely, 2^{100212112210201} is an apocalyptic number.

It is an amenable number.

100212112210201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212112210201 is an equidigital number, since it uses as much as digits as its factorization.

100212112210201 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 16.

Adding to 100212112210201 its reverse (102012211212001), we get a palindrome (202224323422202).

The spelling of 100212112210201 in words is "one hundred trillion, two hundred twelve billion, one hundred twelve million, two hundred ten thousand, two hundred one".