100111022001251 has 2 divisors, whose sum is σ = 100111022001252. Its totient is φ = 100111022001250.

The previous prime is 100111022001239. The next prime is 100111022001271. The reversal of 100111022001251 is 152100220111001.

It is a weak prime.

It is an emirp because it is prime and its reverse (152100220111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100111022001251 - 2⁶ = 100111022001187 is a prime.

It is a super-2 number, since 2×100111022001251² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (100111022001271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055511000625 + 50055511000626.

It is an arithmetic number, because the mean of its divisors is an integer number (50055511000626).

Almost surely, 2^{100111022001251} is an apocalyptic number.

100111022001251 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111022001251 is an equidigital number, since it uses as much as digits as its factorization.

100111022001251 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100111022001251 its reverse (152100220111001), we get a palindrome (252211242112252).

The spelling of 100111022001251 in words is "one hundred trillion, one hundred eleven billion, twenty-two million, one thousand, two hundred fifty-one".