102211200000101 has 8 divisors (see below), whose sum is σ = 102863510494584. Its totient is φ = 101558905755840.

The previous prime is 102211200000073. The next prime is 102211200000113. The reversal of 102211200000101 is 101000002112201.

It can be written as a sum of positive squares in 4 ways, for example, as 17004085207201 + 85207114792900 = 4123601^2 + 9230770^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102211200000101 - 2³⁸ = 101936322093157 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 (102211200000121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8684471 + ... + 16728491.

It is an arithmetic number, because the mean of its divisors is an integer number (12857938811823).

Almost surely, 2^{102211200000101} is an apocalyptic number.

It is an amenable number.

102211200000101 is a deficient number, since it is larger than the sum of its proper divisors (652310494483).

102211200000101 is an equidigital number, since it uses as much as digits as its factorization.

102211200000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8125111.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102211200000101 its reverse (101000002112201), we get a palindrome (203211202112302).

The spelling of 102211200000101 in words is "one hundred two trillion, two hundred eleven billion, two hundred million, one hundred one", and thus it is an aban number.