100101121 has 2 divisors, whose sum is σ = 100101122. Its totient is φ = 100101120.

The previous prime is 100101107. The next prime is 100101173. The reversal of 100101121 is 121101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63377521 + 36723600 = 7961^2 + 6060^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101121 - 2¹¹ = 100099073 is a prime.

It is not a weakly prime, because it can be changed into another prime (100105121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050560 + 50050561.

It is an arithmetic number, because the mean of its divisors is an integer number (50050561).

Almost surely, 2^100101121 is an apocalyptic number.

It is an amenable number.

100101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101121 is an equidigital number, since it uses as much as digits as its factorization.

100101121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 100101121 is about 10005.0547724638. The cubic root of 100101121 is about 464.3152846897.

Adding to 100101121 its reverse (121101001), we get a palindrome (221202122).

The spelling of 100101121 in words is "one hundred million, one hundred one thousand, one hundred twenty-one".