1010101122101 has 4 divisors (see below), whose sum is σ = 1010151654732. Its totient is φ = 1010050589472.

The previous prime is 1010101122097. The next prime is 1010101122103. The reversal of 1010101122101 is 1012211010101.

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 783625071076 + 226476051025 = 885226^2 + 475895^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010101122101 - 2² = 1010101122097 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 (1010101122103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25236320 + ... + 25276313.

It is an arithmetic number, because the mean of its divisors is an integer number (252537913683).

Almost surely, 2^{1010101122101} is an apocalyptic number.

It is an amenable number.

1010101122101 is a deficient number, since it is larger than the sum of its proper divisors (50532631).

1010101122101 is an equidigital number, since it uses as much as digits as its factorization.

1010101122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50532630.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1010101122101 its reverse (1012211010101), we get a palindrome (2022312132202).

The spelling of 1010101122101 in words is "one trillion, ten billion, one hundred one million, one hundred twenty-two thousand, one hundred one".