100090100101 has 2 divisors, whose sum is σ = 100090100102. Its totient is φ = 100090100100.

The previous prime is 100090099957. The next prime is 100090100119. The reversal of 100090100101 is 101001090001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100089976900 + 123201 = 316370^2 + 351^2 .

It is a cyclic number.

It is not a de Polignac number, because 100090100101 - 2²⁷ = 99955882373 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100090101101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50045050050 + 50045050051.

It is an arithmetic number, because the mean of its divisors is an integer number (50045050051).

Almost surely, 2^100090100101 is an apocalyptic number.

It is an amenable number.

100090100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100090100101 is an equidigital number, since it uses as much as digits as its factorization.

100090100101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 100090100101 its reverse (101001090001), we get a palindrome (201091190102).

The spelling of 100090100101 in words is "one hundred billion, ninety million, one hundred thousand, one hundred one".