100212102102137 has 2 divisors, whose sum is σ = 100212102102138. Its totient is φ = 100212102102136.

The previous prime is 100212102102121. The next prime is 100212102102173. The reversal of 100212102102137 is 731201201212001.

It is a happy number.

Together with next prime (100212102102173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68002799597161 + 32209302504976 = 8246381^2 + 5675324^2 .

It is a cyclic number.

It is not a de Polignac number, because 100212102102137 - 2⁴ = 100212102102121 is a prime.

It is not a weakly prime, because it can be changed into another prime (100212102132137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106051051068 + 50106051051069.

It is an arithmetic number, because the mean of its divisors is an integer number (50106051051069).

Almost surely, 2^{100212102102137} is an apocalyptic number.

It is an amenable number.

100212102102137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212102102137 is an equidigital number, since it uses as much as digits as its factorization.

100212102102137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 100212102102137 its reverse (731201201212001), we get a palindrome (831413303314138).

The spelling of 100212102102137 in words is "one hundred trillion, two hundred twelve billion, one hundred two million, one hundred two thousand, one hundred thirty-seven".