1101011001125 has 64 divisors (see below), whose sum is σ = 1588852661760. Its totient is φ = 746095680000.

The previous prime is 1101011001067. The next prime is 1101011001127. The reversal of 1101011001125 is 5211001101011.

It is not a de Polignac number, because 1101011001125 - 2⁶ = 1101011001061 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101011001127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257063234 + ... + 257067516.

It is an arithmetic number, because the mean of its divisors is an integer number (24825822840).

Almost surely, 2^{1101011001125} is an apocalyptic number.

It is an amenable number.

1101011001125 is a deficient number, since it is larger than the sum of its proper divisors (487841660635).

1101011001125 is an equidigital number, since it uses as much as digits as its factorization.

1101011001125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7695 (or 7685 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 14.

Adding to 1101011001125 its reverse (5211001101011), we get a palindrome (6312012102136).

The spelling of 1101011001125 in words is "one trillion, one hundred one billion, eleven million, one thousand, one hundred twenty-five".