100110000001051 has 2 divisors, whose sum is σ = 100110000001052. Its totient is φ = 100110000001050.

The previous prime is 100110000001027. The next prime is 100110000001181. The reversal of 100110000001051 is 150100000011001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100110000001051 - 2¹⁹ = 100109999476763 is a prime.

It is a super-2 number, since 2×100110000001051² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100110000011051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055000000525 + 50055000000526.

It is an arithmetic number, because the mean of its divisors is an integer number (50055000000526).

Almost surely, 2^{100110000001051} is an apocalyptic number.

100110000001051 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110000001051 is an equidigital number, since it uses as much as digits as its factorization.

100110000001051 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5, while the sum is 10.

Adding to 100110000001051 its reverse (150100000011001), we get a palindrome (250210000012052).

The spelling of 100110000001051 in words is "one hundred trillion, one hundred ten billion, one thousand, fifty-one".