100100101051 has 2 divisors, whose sum is σ = 100100101052. Its totient is φ = 100100101050.

The previous prime is 100100101033. The next prime is 100100101111. The reversal of 100100101051 is 150101001001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100100101051 - 2⁵ = 100100101019 is a prime.

It is a super-2 number, since 2×100100101051² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100100101021) 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, 50050050525 + 50050050526.

It is an arithmetic number, because the mean of its divisors is an integer number (50050050526).

Almost surely, 2^100100101051 is an apocalyptic number.

100100101051 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100101051 is an equidigital number, since it uses as much as digits as its factorization.

100100101051 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 100100101051 its reverse (150101001001), we get a palindrome (250201102052).

The spelling of 100100101051 in words is "one hundred billion, one hundred million, one hundred one thousand, fifty-one".