101210312101 has 2 divisors, whose sum is σ = 101210312102. Its totient is φ = 101210312100.

The previous prime is 101210312081. The next prime is 101210312131. The reversal of 101210312101 is 101213012101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80982361476 + 20227950625 = 284574^2 + 142225^2 .

It is a cyclic number.

It is not a de Polignac number, because 101210312101 - 2⁷ = 101210311973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101210312131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605156050 + 50605156051.

It is an arithmetic number, because the mean of its divisors is an integer number (50605156051).

Almost surely, 2^101210312101 is an apocalyptic number.

It is an amenable number.

101210312101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101210312101 is an equidigital number, since it uses as much as digits as its factorization.

101210312101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 101210312101 its reverse (101213012101), we get a palindrome (202423324202).

The spelling of 101210312101 in words is "one hundred one billion, two hundred ten million, three hundred twelve thousand, one hundred one".