100121122210709 has 2 divisors, whose sum is σ = 100121122210710. Its totient is φ = 100121122210708.

The previous prime is 100121122210693. The next prime is 100121122210763. The reversal of 100121122210709 is 907012221121001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80126720530609 + 19994401680100 = 8951353^2 + 4471510^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121122210709 - 2⁴ = 100121122210693 is a prime.

It is a super-2 number, since 2×100121122210709² (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 (100121022210709) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060561105354 + 50060561105355.

It is an arithmetic number, because the mean of its divisors is an integer number (50060561105355).

Almost surely, 2^{100121122210709} is an apocalyptic number.

It is an amenable number.

100121122210709 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121122210709 is an equidigital number, since it uses as much as digits as its factorization.

100121122210709 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 29.

The spelling of 100121122210709 in words is "one hundred trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred ten thousand, seven hundred nine".