1290108211011 has 32 divisors (see below), whose sum is σ = 1958631134720. Its totient is φ = 839009536992.

The previous prime is 1290108211009. The next prime is 1290108211013. The reversal of 1290108211011 is 1101128010921.

It is an interprime number because it is at equal distance from previous prime (1290108211009) and next prime (1290108211013).

It is not a de Polignac number, because 1290108211011 - 2¹ = 1290108211009 is a prime.

It is a super-2 number, since 2×1290108211011² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1290108211013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3275620 + ... + 3648273.

It is an arithmetic number, because the mean of its divisors is an integer number (61207222960).

Almost surely, 2^{1290108211011} is an apocalyptic number.

1290108211011 is a deficient number, since it is larger than the sum of its proper divisors (668522923709).

1290108211011 is a wasteful number, since it uses less digits than its factorization.

1290108211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6924072 (or 6924066 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 27.

The spelling of 1290108211011 in words is "one trillion, two hundred ninety billion, one hundred eight million, two hundred eleven thousand, eleven".