100110122221229 has 2 divisors, whose sum is σ = 100110122221230. Its totient is φ = 100110122221228.

The previous prime is 100110122221169. The next prime is 100110122221259. The reversal of 100110122221229 is 922122221011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55838704600900 + 44271417620329 = 7472530^2 + 6653677^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110122221229 - 2⁸ = 100110122220973 is a prime.

It is a super-2 number, since 2×100110122221229² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100110122221198 and 100110122221207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100110122221259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055061110614 + 50055061110615.

It is an arithmetic number, because the mean of its divisors is an integer number (50055061110615).

Almost surely, 2^{100110122221229} is an apocalyptic number.

It is an amenable number.

100110122221229 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110122221229 is an equidigital number, since it uses as much as digits as its factorization.

100110122221229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 100110122221229 in words is "one hundred trillion, one hundred ten billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred twenty-nine".