1013101122101 has 4 divisors (see below), whose sum is σ = 1072695305772. Its totient is φ = 953506938432.

The previous prime is 1013101122097. The next prime is 1013101122113. The reversal of 1013101122101 is 1012211013101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 731023290001 + 282077832100 = 854999^2 + 531110^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013101122101 - 2² = 1013101122097 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 (1013101122181) 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 3 ways as a sum of consecutive naturals, for example, 29797091810 + ... + 29797091843.

It is an arithmetic number, because the mean of its divisors is an integer number (268173826443).

Almost surely, 2^{1013101122101} is an apocalyptic number.

It is an amenable number.

1013101122101 is a deficient number, since it is larger than the sum of its proper divisors (59594183671).

1013101122101 is an equidigital number, since it uses as much as digits as its factorization.

1013101122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59594183670.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 1013101122101 its reverse (1012211013101), we get a palindrome (2025312135202).

The spelling of 1013101122101 in words is "one trillion, thirteen billion, one hundred one million, one hundred twenty-two thousand, one hundred one".