100011102102251 has 2 divisors, whose sum is σ = 100011102102252. Its totient is φ = 100011102102250.

The previous prime is 100011102102101. The next prime is 100011102102253. The reversal of 100011102102251 is 152201201110001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100011102102251 - 2⁴² = 95613055591147 is a prime.

Together with 100011102102253, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100011102102253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005551051125 + 50005551051126.

It is an arithmetic number, because the mean of its divisors is an integer number (50005551051126).

Almost surely, 2^{100011102102251} is an apocalyptic number.

100011102102251 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011102102251 is an equidigital number, since it uses as much as digits as its factorization.

100011102102251 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40, while the sum is 17.

Adding to 100011102102251 its reverse (152201201110001), we get a palindrome (252212303212252).

The spelling of 100011102102251 in words is "one hundred trillion, eleven billion, one hundred two million, one hundred two thousand, two hundred fifty-one".