101331122102101 has 2 divisors, whose sum is σ = 101331122102102. Its totient is φ = 101331122102100.

The previous prime is 101331122102099. The next prime is 101331122102113. The reversal of 101331122102101 is 101201221133101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82607630587876 + 18723491514225 = 9088874^2 + 4327065^2 .

It is a cyclic number.

It is not a de Polignac number, because 101331122102101 - 2¹ = 101331122102099 is a prime.

It is a super-2 number, since 2×101331122102101² (a number of 29 digits) contains 22 as substring.

Together with 101331122102099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101331122132101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50665561051050 + 50665561051051.

It is an arithmetic number, because the mean of its divisors is an integer number (50665561051051).

Almost surely, 2^{101331122102101} is an apocalyptic number.

It is an amenable number.

101331122102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101331122102101 is an equidigital number, since it uses as much as digits as its factorization.

101331122102101 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 19.

Adding to 101331122102101 its reverse (101201221133101), we get a palindrome (202532343235202).

The spelling of 101331122102101 in words is "one hundred one trillion, three hundred thirty-one billion, one hundred twenty-two million, one hundred two thousand, one hundred one".