1010120102261 has 2 divisors, whose sum is σ = 1010120102262. Its totient is φ = 1010120102260.

The previous prime is 1010120102249. The next prime is 1010120102263. The reversal of 1010120102261 is 1622010210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 930296901361 + 79823200900 = 964519^2 + 282530^2 .

It is an emirp because it is prime and its reverse (1622010210101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1010120102261 is a prime.

It is a super-4 number, since 4×1010120102261⁴ (a number of 49 digits) contains 4444 as substring.

Together with 1010120102263, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010120102263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505060051130 + 505060051131.

It is an arithmetic number, because the mean of its divisors is an integer number (505060051131).

Almost surely, 2^{1010120102261} is an apocalyptic number.

It is an amenable number.

1010120102261 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010120102261 is an equidigital number, since it uses as much as digits as its factorization.

1010120102261 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 17.

Adding to 1010120102261 its reverse (1622010210101), we get a palindrome (2632130312362).

The spelling of 1010120102261 in words is "one trillion, ten billion, one hundred twenty million, one hundred two thousand, two hundred sixty-one".