1102400261 has 2 divisors, whose sum is σ = 1102400262. Its totient is φ = 1102400260.

The previous prime is 1102400249. The next prime is 1102400267. The reversal of 1102400261 is 1620042011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 763472161 + 338928100 = 27631^2 + 18410^2 .

It is a cyclic number.

It is not a de Polignac number, because 1102400261 - 2¹⁰ = 1102399237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1102400267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 551200130 + 551200131.

It is an arithmetic number, because the mean of its divisors is an integer number (551200131).

Almost surely, 2^1102400261 is an apocalyptic number.

It is an amenable number.

1102400261 is a deficient number, since it is larger than the sum of its proper divisors (1).

1102400261 is an equidigital number, since it uses as much as digits as its factorization.

1102400261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1102400261 is about 33202.4134815528. The cubic root of 1102400261 is about 1033.0304008181.

Adding to 1102400261 its reverse (1620042011), we get a palindrome (2722442272).

It can be divided in two parts, 110 and 2400261, that multiplied together give a triangular number (264028710 = T₂₂₉₇₉).

The spelling of 1102400261 in words is "one billion, one hundred two million, four hundred thousand, two hundred sixty-one".