101010122112101 has 4 divisors (see below), whose sum is σ = 101019973884972. Its totient is φ = 101000270339232.

The previous prime is 101010122112049. The next prime is 101010122112143. The reversal of 101010122112101 is 101211221010101.

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 50576703592900 + 50433418519201 = 7111730^2 + 7101649^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101010122112101 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 (101010122112181) 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, 4925871056 + ... + 4925891561.

It is an arithmetic number, because the mean of its divisors is an integer number (25254993471243).

Almost surely, 2^{101010122112101} is an apocalyptic number.

It is an amenable number.

101010122112101 is a deficient number, since it is larger than the sum of its proper divisors (9851772871).

101010122112101 is an equidigital number, since it uses as much as digits as its factorization.

101010122112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9851772870.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101010122112101 its reverse (101211221010101), we get a palindrome (202221343122202).

The spelling of 101010122112101 in words is "one hundred one trillion, ten billion, one hundred twenty-two million, one hundred twelve thousand, one hundred one".