21111012100201 has 2 divisors, whose sum is σ = 21111012100202. Its totient is φ = 21111012100200.

The previous prime is 21111012100141. The next prime is 21111012100271. The reversal of 21111012100201 is 10200121011112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17968688624601 + 3142323475600 = 4238949^2 + 1772660^2 .

It is a cyclic number.

It is not a de Polignac number, because 21111012100201 - 2¹⁷ = 21111011969129 is a prime.

It is not a weakly prime, because it can be changed into another prime (21111012100271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10555506050100 + 10555506050101.

It is an arithmetic number, because the mean of its divisors is an integer number (10555506050101).

Almost surely, 2^{21111012100201} is an apocalyptic number.

It is an amenable number.

21111012100201 is a deficient number, since it is larger than the sum of its proper divisors (1).

21111012100201 is an equidigital number, since it uses as much as digits as its factorization.

21111012100201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 21111012100201 its reverse (10200121011112), we get a palindrome (31311133111313).

The spelling of 21111012100201 in words is "twenty-one trillion, one hundred eleven billion, twelve million, one hundred thousand, two hundred one".