110101201202101 has 2 divisors, whose sum is σ = 110101201202102. Its totient is φ = 110101201202100.

The previous prime is 110101201202039. The next prime is 110101201202147. The reversal of 110101201202101 is 101202102101011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110095200375876 + 6000826225 = 10492626^2 + 77465^2 .

It is a cyclic number.

It is not a de Polignac number, because 110101201202101 - 2¹³ = 110101201193909 is a prime.

It is a super-2 number, since 2×110101201202101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110101201202701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050600601050 + 55050600601051.

It is an arithmetic number, because the mean of its divisors is an integer number (55050600601051).

Almost surely, 2^{110101201202101} is an apocalyptic number.

It is an amenable number.

110101201202101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101201202101 is an equidigital number, since it uses as much as digits as its factorization.

110101201202101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 110101201202101 its reverse (101202102101011), we get a palindrome (211303303303112).

The spelling of 110101201202101 in words is "one hundred ten trillion, one hundred one billion, two hundred one million, two hundred two thousand, one hundred one".