1011101012101 has 4 divisors (see below), whose sum is σ = 1011204290304. Its totient is φ = 1010997733900.

The previous prime is 1011101012039. The next prime is 1011101012107. The reversal of 1011101012101 is 1012101011101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1011101012101 - 2¹¹ = 1011101010053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011101012107) 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 3 ways as a sum of consecutive naturals, for example, 51624415 + ... + 51643996.

It is an arithmetic number, because the mean of its divisors is an integer number (252801072576).

Almost surely, 2^{1011101012101} is an apocalyptic number.

It is an amenable number.

1011101012101 is a deficient number, since it is larger than the sum of its proper divisors (103278203).

1011101012101 is an equidigital number, since it uses as much as digits as its factorization.

1011101012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103278202.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1011101012101 its reverse (1012101011101), we get a palindrome (2023202023202).

The spelling of 1011101012101 in words is "one trillion, eleven billion, one hundred one million, twelve thousand, one hundred one".