1102202002261 has 2 divisors, whose sum is σ = 1102202002262. Its totient is φ = 1102202002260.

The previous prime is 1102202002217. The next prime is 1102202002277. The reversal of 1102202002261 is 1622002022011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 600789311236 + 501412691025 = 775106^2 + 708105^2 .

It is a cyclic number.

It is not a de Polignac number, because 1102202002261 - 2¹⁷ = 1102201871189 is a prime.

It is a super-2 number, since 2×1102202002261² (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 (1102202062261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 551101001130 + 551101001131.

It is an arithmetic number, because the mean of its divisors is an integer number (551101001131).

Almost surely, 2^{1102202002261} is an apocalyptic number.

It is an amenable number.

1102202002261 is a deficient number, since it is larger than the sum of its proper divisors (1).

1102202002261 is an equidigital number, since it uses as much as digits as its factorization.

1102202002261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 1102202002261 its reverse (1622002022011), we get a palindrome (2724204024272).

The spelling of 1102202002261 in words is "one trillion, one hundred two billion, two hundred two million, two thousand, two hundred sixty-one".