102011112112109 has 2 divisors, whose sum is σ = 102011112112110. Its totient is φ = 102011112112108.

The previous prime is 102011112112061. The next prime is 102011112112153. The reversal of 102011112112109 is 901211211110201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52652365878025 + 49358746234084 = 7256195^2 + 7025578^2 .

It is a cyclic number.

It is not a de Polignac number, because 102011112112109 - 2¹⁶ = 102011112046573 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102011112112159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51005556056054 + 51005556056055.

It is an arithmetic number, because the mean of its divisors is an integer number (51005556056055).

Almost surely, 2^{102011112112109} is an apocalyptic number.

It is an amenable number.

102011112112109 is a deficient number, since it is larger than the sum of its proper divisors (1).

102011112112109 is an equidigital number, since it uses as much as digits as its factorization.

102011112112109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 23.

The spelling of 102011112112109 in words is "one hundred two trillion, eleven billion, one hundred twelve million, one hundred twelve thousand, one hundred nine".