1010121211261 has 2 divisors, whose sum is σ = 1010121211262. Its totient is φ = 1010121211260.

The previous prime is 1010121211201. The next prime is 1010121211369. The reversal of 1010121211261 is 1621121210101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 654511742361 + 355609468900 = 809019^2 + 596330^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010121211261 - 2⁷ = 1010121211133 is a prime.

It is a super-2 number, since 2×1010121211261² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010121211201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505060605630 + 505060605631.

It is an arithmetic number, because the mean of its divisors is an integer number (505060605631).

Almost surely, 2^{1010121211261} is an apocalyptic number.

It is an amenable number.

1010121211261 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010121211261 is an equidigital number, since it uses as much as digits as its factorization.

1010121211261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 1010121211261 its reverse (1621121210101), we get a palindrome (2631242421362).

The spelling of 1010121211261 in words is "one trillion, ten billion, one hundred twenty-one million, two hundred eleven thousand, two hundred sixty-one".