102011112112009 has 2 divisors, whose sum is σ = 102011112112010. Its totient is φ = 102011112112008.

The previous prime is 102011112111947. The next prime is 102011112112037. The reversal of 102011112112009 is 900211211110201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101327315425609 + 683796686400 = 10066147^2 + 826920^2 .

It is a cyclic number.

It is not a de Polignac number, because 102011112112009 - 2¹⁵ = 102011112079241 is a prime.

It is not a weakly prime, because it can be changed into another prime (102011112112109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51005556056004 + 51005556056005.

It is an arithmetic number, because the mean of its divisors is an integer number (51005556056005).

Almost surely, 2^{102011112112009} is an apocalyptic number.

It is an amenable number.

102011112112009 is a deficient number, since it is larger than the sum of its proper divisors (1).

102011112112009 is an equidigital number, since it uses as much as digits as its factorization.

102011112112009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 102011112112009 in words is "one hundred two trillion, eleven billion, one hundred twelve million, one hundred twelve thousand, nine".