100102012111181 has 2 divisors, whose sum is σ = 100102012111182. Its totient is φ = 100102012111180.

The previous prime is 100102012111169. The next prime is 100102012111229. The reversal of 100102012111181 is 181111210201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70415761788100 + 29686250323081 = 8391410^2 + 5448509^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102012111181 - 2²⁶ = 100101945002317 is a prime.

It is a super-2 number, since 2×100102012111181² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100102012111111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051006055590 + 50051006055591.

It is an arithmetic number, because the mean of its divisors is an integer number (50051006055591).

Almost surely, 2^{100102012111181} is an apocalyptic number.

It is an amenable number.

100102012111181 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102012111181 is an equidigital number, since it uses as much as digits as its factorization.

100102012111181 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 20.

Adding to 100102012111181 its reverse (181111210201001), we get a palindrome (281213222312182).

The spelling of 100102012111181 in words is "one hundred trillion, one hundred two billion, twelve million, one hundred eleven thousand, one hundred eighty-one".