100110020122109 has 2 divisors, whose sum is σ = 100110020122110. Its totient is φ = 100110020122108.

The previous prime is 100110020122097. The next prime is 100110020122169. The reversal of 100110020122109 is 901221020011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99204030254884 + 905989867225 = 9960122^2 + 951835^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110020122109 - 2¹⁶ = 100110020056573 is a prime.

It is a super-2 number, since 2×100110020122109² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100110020122169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055010061054 + 50055010061055.

It is an arithmetic number, because the mean of its divisors is an integer number (50055010061055).

Almost surely, 2^{100110020122109} is an apocalyptic number.

It is an amenable number.

100110020122109 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110020122109 is an equidigital number, since it uses as much as digits as its factorization.

100110020122109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 100110020122109 in words is "one hundred trillion, one hundred ten billion, twenty million, one hundred twenty-two thousand, one hundred nine".