102101102222101 has 4 divisors (see below), whose sum is σ = 102101147396172. Its totient is φ = 102101057048032.

The previous prime is 102101102222071. The next prime is 102101102222117. The reversal of 102101102222101 is 101222201101201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 47828427956100 + 54272674266001 = 6915810^2 + 7366999^2 .

It is a cyclic number.

It is not a de Polignac number, because 102101102222101 - 2⁵ = 102101102222069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101102228101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19007710 + ... + 23780143.

It is an arithmetic number, because the mean of its divisors is an integer number (25525286849043).

Almost surely, 2^{102101102222101} is an apocalyptic number.

It is an amenable number.

102101102222101 is a deficient number, since it is larger than the sum of its proper divisors (45174071).

102101102222101 is an equidigital number, since it uses as much as digits as its factorization.

102101102222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45174070.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102101102222101 its reverse (101222201101201), we get a palindrome (203323303323302).

The spelling of 102101102222101 in words is "one hundred two trillion, one hundred one billion, one hundred two million, two hundred twenty-two thousand, one hundred one".