100110102101 has 2 divisors, whose sum is σ = 100110102102. Its totient is φ = 100110102100.

The previous prime is 100110102097. The next prime is 100110102121. The reversal of 100110102101 is 101201011001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53183278225 + 46926823876 = 230615^2 + 216626^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110102101 - 2² = 100110102097 is a prime.

It is a super-2 number, since 2×100110102101² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100110102121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055051050 + 50055051051.

It is an arithmetic number, because the mean of its divisors is an integer number (50055051051).

Almost surely, 2^100110102101 is an apocalyptic number.

It is an amenable number.

100110102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110102101 is an equidigital number, since it uses as much as digits as its factorization.

100110102101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100110102101 its reverse (101201011001), we get a palindrome (201311113102).

The spelling of 100110102101 in words is "one hundred billion, one hundred ten million, one hundred two thousand, one hundred one".