1002211201261 has 2 divisors, whose sum is σ = 1002211201262. Its totient is φ = 1002211201260.

The previous prime is 1002211201249. The next prime is 1002211201267. The reversal of 1002211201261 is 1621021122001.

1002211201261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 697500577225 + 304710624036 = 835165^2 + 552006^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002211201261 - 2²⁷ = 1002076983533 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002211201267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501105600630 + 501105600631.

It is an arithmetic number, because the mean of its divisors is an integer number (501105600631).

Almost surely, 2^{1002211201261} is an apocalyptic number.

It is an amenable number.

1002211201261 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002211201261 is an equidigital number, since it uses as much as digits as its factorization.

1002211201261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 1002211201261 its reverse (1621021122001), we get a palindrome (2623232323262).

The spelling of 1002211201261 in words is "one trillion, two billion, two hundred eleven million, two hundred one thousand, two hundred sixty-one".