1011101009975 has 48 divisors (see below), whose sum is σ = 1439080267968. Its totient is φ = 690326077440.

The previous prime is 1011101009959. The next prime is 1011101009977. The reversal of 1011101009975 is 5799001011101.

It is not a de Polignac number, because 1011101009975 - 2⁴ = 1011101009959 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011101009977) 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 47 ways as a sum of consecutive naturals, for example, 161592047 + ... + 161598303.

It is an arithmetic number, because the mean of its divisors is an integer number (29980838916).

Almost surely, 2^{1011101009975} is an apocalyptic number.

1011101009975 is a deficient number, since it is larger than the sum of its proper divisors (427979257993).

1011101009975 is a wasteful number, since it uses less digits than its factorization.

1011101009975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10124 (or 10119 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 35.

The spelling of 1011101009975 in words is "one trillion, eleven billion, one hundred one million, nine thousand, nine hundred seventy-five".