100122110111251 has 2 divisors, whose sum is σ = 100122110111252. Its totient is φ = 100122110111250.

The previous prime is 100122110111189. The next prime is 100122110111323. The reversal of 100122110111251 is 152111011221001.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100122110111251 is a prime.

It is a super-3 number, since 3×100122110111251³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (100122110121251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061055055625 + 50061055055626.

It is an arithmetic number, because the mean of its divisors is an integer number (50061055055626).

Almost surely, 2^{100122110111251} is an apocalyptic number.

100122110111251 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122110111251 is an equidigital number, since it uses as much as digits as its factorization.

100122110111251 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 19.

Adding to 100122110111251 its reverse (152111011221001), we get a palindrome (252233121332252).

The spelling of 100122110111251 in words is "one hundred trillion, one hundred twenty-two billion, one hundred ten million, one hundred eleven thousand, two hundred fifty-one".