1100101020031 has 16 divisors (see below), whose sum is σ = 1201767519456. Its totient is φ = 1000925807616.

The previous prime is 1100101020017. The next prime is 1100101020089. The reversal of 1100101020031 is 1300201010011.

It is a cyclic number.

It is not a de Polignac number, because 1100101020031 - 2⁷ = 1100101019903 is a prime.

It is a super-2 number, since 2×1100101020031² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100101021031) 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 15 ways as a sum of consecutive naturals, for example, 710110 + ... + 1644523.

It is an arithmetic number, because the mean of its divisors is an integer number (75110469966).

Almost surely, 2^{1100101020031} is an apocalyptic number.

1100101020031 is a deficient number, since it is larger than the sum of its proper divisors (101666499425).

1100101020031 is a wasteful number, since it uses less digits than its factorization.

1100101020031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355162.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 1100101020031 its reverse (1300201010011), we get a palindrome (2400302030042).

The spelling of 1100101020031 in words is "one trillion, one hundred billion, one hundred one million, twenty thousand, thirty-one".