10000102102181 has 2 divisors, whose sum is σ = 10000102102182. Its totient is φ = 10000102102180.

The previous prime is 10000102102139. The next prime is 10000102102223. The reversal of 10000102102181 is 18120120100001.

It is a balanced prime because it is at equal distance from previous prime (10000102102139) and next prime (10000102102223).

It can be written as a sum of positive squares in only one way, i.e., 9936421579681 + 63680522500 = 3152209^2 + 252350^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000102102181 is a prime.

It is a super-4 number, since 4×10000102102181⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000102102381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000051051090 + 5000051051091.

It is an arithmetic number, because the mean of its divisors is an integer number (5000051051091).

Almost surely, 2^{10000102102181} is an apocalyptic number.

It is an amenable number.

10000102102181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000102102181 is an equidigital number, since it uses as much as digits as its factorization.

10000102102181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10000102102181 its reverse (18120120100001), we get a palindrome (28120222202182).

The spelling of 10000102102181 in words is "ten trillion, one hundred two million, one hundred two thousand, one hundred eighty-one".