10211201012249 has 2 divisors, whose sum is σ = 10211201012250. Its totient is φ = 10211201012248.

The previous prime is 10211201012231. The next prime is 10211201012261. The reversal of 10211201012249 is 94221010211201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9983748325849 + 227452686400 = 3159707^2 + 476920^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211201012249 - 2³² = 10206906044953 is a prime.

It is a super-2 number, since 2×10211201012249² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10211201212249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105600506124 + 5105600506125.

It is an arithmetic number, because the mean of its divisors is an integer number (5105600506125).

Almost surely, 2^{10211201012249} is an apocalyptic number.

It is an amenable number.

10211201012249 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211201012249 is an equidigital number, since it uses as much as digits as its factorization.

10211201012249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 10211201012249 in words is "ten trillion, two hundred eleven billion, two hundred one million, twelve thousand, two hundred forty-nine".