101416121 has 2 divisors, whose sum is σ = 101416122. Its totient is φ = 101416120.

The previous prime is 101416057. The next prime is 101416127. The reversal of 101416121 is 121614101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101203600 + 212521 = 10060^2 + 461^2 .

It is a cyclic number.

It is not a de Polignac number, because 101416121 - 2⁶ = 101416057 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 101416121.

It is not a weakly prime, because it can be changed into another prime (101416127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50708060 + 50708061.

It is an arithmetic number, because the mean of its divisors is an integer number (50708061).

Almost surely, 2^101416121 is an apocalyptic number.

It is an amenable number.

101416121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101416121 is an equidigital number, since it uses as much as digits as its factorization.

101416121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 101416121 is about 10070.5571345383. The cubic root of 101416121 is about 466.3396386244.

The spelling of 101416121 in words is "one hundred one million, four hundred sixteen thousand, one hundred twenty-one".