102100112101291 has 2 divisors, whose sum is σ = 102100112101292. Its totient is φ = 102100112101290.

The previous prime is 102100112101237. The next prime is 102100112101303. The reversal of 102100112101291 is 192101211001201.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 102100112101291 - 2¹⁹ = 102100111577003 is a prime.

It is not a weakly prime, because it can be changed into another prime (102100112101201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050056050645 + 51050056050646.

It is an arithmetic number, because the mean of its divisors is an integer number (51050056050646).

Almost surely, 2^{102100112101291} is an apocalyptic number.

102100112101291 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100112101291 is an equidigital number, since it uses as much as digits as its factorization.

102100112101291 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.

Adding to 102100112101291 its reverse (192101211001201), we get a palindrome (294201323102492).

The spelling of 102100112101291 in words is "one hundred two trillion, one hundred billion, one hundred twelve million, one hundred one thousand, two hundred ninety-one".