100101211101121 has 2 divisors, whose sum is σ = 100101211101122. Its totient is φ = 100101211101120.

The previous prime is 100101211101113. The next prime is 100101211101163. The reversal of 100101211101121 is 121101112101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52138508490000 + 47962702611121 = 7220700^2 + 6925511^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101211101121 - 2³ = 100101211101113 is a prime.

It is a super-2 number, since 2×100101211101121² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100101211171121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050605550560 + 50050605550561.

It is an arithmetic number, because the mean of its divisors is an integer number (50050605550561).

Almost surely, 2^{100101211101121} is an apocalyptic number.

It is an amenable number.

100101211101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101211101121 is an equidigital number, since it uses as much as digits as its factorization.

100101211101121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 100101211101121 its reverse (121101112101001), we get a palindrome (221202323202122).

The spelling of 100101211101121 in words is "one hundred trillion, one hundred one billion, two hundred eleven million, one hundred one thousand, one hundred twenty-one".