1010223023101 has 2 divisors, whose sum is σ = 1010223023102. Its totient is φ = 1010223023100.

The previous prime is 1010223023083. The next prime is 1010223023119. The reversal of 1010223023101 is 1013203220101.

It is a balanced prime because it is at equal distance from previous prime (1010223023083) and next prime (1010223023119).

It can be written as a sum of positive squares in only one way, i.e., 635065548100 + 375157475001 = 796910^2 + 612501^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1010223023101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010223023141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505111511550 + 505111511551.

It is an arithmetic number, because the mean of its divisors is an integer number (505111511551).

Almost surely, 2^{1010223023101} is an apocalyptic number.

It is an amenable number.

1010223023101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010223023101 is an equidigital number, since it uses as much as digits as its factorization.

1010223023101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1010223023101 its reverse (1013203220101), we get a palindrome (2023426243202).

The spelling of 1010223023101 in words is "one trillion, ten billion, two hundred twenty-three million, twenty-three thousand, one hundred one".