1011101021261 has 2 divisors, whose sum is σ = 1011101021262. Its totient is φ = 1011101021260.

The previous prime is 1011101021257. The next prime is 1011101021269. The reversal of 1011101021261 is 1621201011101.

1011101021261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 676126308361 + 334974712900 = 822269^2 + 578770^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011101021261 - 2² = 1011101021257 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011101021269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505550510630 + 505550510631.

It is an arithmetic number, because the mean of its divisors is an integer number (505550510631).

Almost surely, 2^{1011101021261} is an apocalyptic number.

It is an amenable number.

1011101021261 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011101021261 is an equidigital number, since it uses as much as digits as its factorization.

1011101021261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 1011101021261 its reverse (1621201011101), we get a palindrome (2632302032362).

The spelling of 1011101021261 in words is "one trillion, eleven billion, one hundred one million, twenty-one thousand, two hundred sixty-one".