110203012032101 has 2 divisors, whose sum is σ = 110203012032102. Its totient is φ = 110203012032100.

The previous prime is 110203012032041. The next prime is 110203012032143. The reversal of 110203012032101 is 101230210302011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81869470830625 + 28333541201476 = 9048175^2 + 5322926^2 .

It is a cyclic number.

It is not a de Polignac number, because 110203012032101 - 2⁶ = 110203012032037 is a prime.

It is a super-4 number, since 4×110203012032101⁴ (a number of 57 digits) contains 4444 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 110203012032101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110203012032601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55101506016050 + 55101506016051.

It is an arithmetic number, because the mean of its divisors is an integer number (55101506016051).

Almost surely, 2^{110203012032101} is an apocalyptic number.

It is an amenable number.

110203012032101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110203012032101 is an equidigital number, since it uses as much as digits as its factorization.

110203012032101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 110203012032101 its reverse (101230210302011), we get a palindrome (211433222334112).

The spelling of 110203012032101 in words is "one hundred ten trillion, two hundred three billion, twelve million, thirty-two thousand, one hundred one".