102102222000101 has 4 divisors (see below), whose sum is σ = 102142152476652. Its totient is φ = 102062291523552.

The previous prime is 102102222000091. The next prime is 102102222000113. The reversal of 102102222000101 is 101000222201201.

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 61643068716100 + 40459153284001 = 7851310^2 + 6360751^2 .

It is a cyclic number.

It is not a de Polignac number, because 102102222000101 - 2¹⁰ = 102102221999077 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 (102102222000901) 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, 19965234440 + ... + 19965239553.

It is an arithmetic number, because the mean of its divisors is an integer number (25535538119163).

Almost surely, 2^{102102222000101} is an apocalyptic number.

It is an amenable number.

102102222000101 is a deficient number, since it is larger than the sum of its proper divisors (39930476551).

102102222000101 is an equidigital number, since it uses as much as digits as its factorization.

102102222000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39930476550.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102102222000101 its reverse (101000222201201), we get a palindrome (203102444201302).

The spelling of 102102222000101 in words is "one hundred two trillion, one hundred two billion, two hundred twenty-two million, one hundred one", and thus it is an aban number.