102101011002101 has 6 divisors (see below), whose sum is σ = 108460243521570. Its totient is φ = 96095069178176.

The previous prime is 102101011002079. The next prime is 102101011002119. The reversal of 102101011002101 is 101200110101201.

It can be written as a sum of positive squares in 3 ways, for example, as 72173010520900 + 29928000481201 = 8495470^2 + 5470649^2 .

It is a de Polignac number, because none of the positive numbers 2^k-102101011002101 is a prime.

It is a super-2 number, since 2×102101011002101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101011002701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 176645347466 + ... + 176645348043.

It is an arithmetic number, because the mean of its divisors is an integer number (18076707253595).

Almost surely, 2^{102101011002101} is an apocalyptic number.

It is an amenable number.

102101011002101 is a deficient number, since it is larger than the sum of its proper divisors (6359232519469).

102101011002101 is an equidigital number, since it uses as much as digits as its factorization.

102101011002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353290695543 (or 353290695526 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 102101011002101 its reverse (101200110101201), we get a palindrome (203301121103302).

The spelling of 102101011002101 in words is "one hundred two trillion, one hundred one billion, eleven million, two thousand, one hundred one".