102100220201033 has 2 divisors, whose sum is σ = 102100220201034. Its totient is φ = 102100220201032.

The previous prime is 102100220200987. The next prime is 102100220201051. The reversal of 102100220201033 is 330102022001201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101973400883344 + 126819317689 = 10098188^2 + 356117^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100220201033 - 2¹⁴ = 102100220184649 is a prime.

It is not a weakly prime, because it can be changed into another prime (102100220231033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050110100516 + 51050110100517.

It is an arithmetic number, because the mean of its divisors is an integer number (51050110100517).

Almost surely, 2^{102100220201033} is an apocalyptic number.

It is an amenable number.

102100220201033 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100220201033 is an equidigital number, since it uses as much as digits as its factorization.

102100220201033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102100220201033 its reverse (330102022001201), we get a palindrome (432202242202234).

The spelling of 102100220201033 in words is "one hundred two trillion, one hundred billion, two hundred twenty million, two hundred one thousand, thirty-three".