101010122121121 has 16 divisors (see below), whose sum is σ = 105609183189840. Its totient is φ = 96486947020800.

The previous prime is 101010122121061. The next prime is 101010122121137. The reversal of 101010122121121 is 121121221010101.

It can be written as a sum of positive squares in 8 ways, for example, as 19675336904721 + 81334785216400 = 4435689^2 + 9018580^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010122121121 - 2⁷ = 101010122120993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101010122121095 and 101010122121104.

It is not an unprimeable number, because it can be changed into a prime (101010122121521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9495696 + ... + 17093521.

It is an arithmetic number, because the mean of its divisors is an integer number (6600573949365).

Almost surely, 2^{101010122121121} is an apocalyptic number.

It is an amenable number.

101010122121121 is a deficient number, since it is larger than the sum of its proper divisors (4599061068719).

101010122121121 is a wasteful number, since it uses less digits than its factorization.

101010122121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26590644.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 101010122121121 its reverse (121121221010101), we get a palindrome (222131343131222).

The spelling of 101010122121121 in words is "one hundred one trillion, ten billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty-one".