102033221121101 has 2 divisors, whose sum is σ = 102033221121102. Its totient is φ = 102033221121100.

The previous prime is 102033221121067. The next prime is 102033221121121. The reversal of 102033221121101 is 101121122330201.

It is an a-pointer prime, because the next prime (102033221121121) can be obtained adding 102033221121101 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51545076660100 + 50488144461001 = 7179490^2 + 7105501^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102033221121101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102033221121121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51016610560550 + 51016610560551.

It is an arithmetic number, because the mean of its divisors is an integer number (51016610560551).

Almost surely, 2^{102033221121101} is an apocalyptic number.

It is an amenable number.

102033221121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102033221121101 is an equidigital number, since it uses as much as digits as its factorization.

102033221121101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 102033221121101 its reverse (101121122330201), we get a palindrome (203154343451302).

The spelling of 102033221121101 in words is "one hundred two trillion, thirty-three billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred one".