100101016121 has 2 divisors, whose sum is σ = 100101016122. Its totient is φ = 100101016120.

The previous prime is 100101016117. The next prime is 100101016129. The reversal of 100101016121 is 121610101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95766110521 + 4334905600 = 309461^2 + 65840^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101016121 - 2² = 100101016117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101016096 and 100101016105.

It is not a weakly prime, because it can be changed into another prime (100101016129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050508060 + 50050508061.

It is an arithmetic number, because the mean of its divisors is an integer number (50050508061).

Almost surely, 2^100101016121 is an apocalyptic number.

It is an amenable number.

100101016121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101016121 is an equidigital number, since it uses as much as digits as its factorization.

100101016121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 100101016121 its reverse (121610101001), we get a palindrome (221711117122).

The spelling of 100101016121 in words is "one hundred billion, one hundred one million, sixteen thousand, one hundred twenty-one".