10020122100101 has 8 divisors (see below), whose sum is σ = 10185860423640. Its totient is φ = 9855725787648.

The previous prime is 10020122100091. The next prime is 10020122100113. The reversal of 10020122100101 is 10100122102001.

It can be written as a sum of positive squares in 4 ways, for example, as 2178856449025 + 7841265651076 = 1476095^2 + 2800226^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10020122100101 - 2¹⁰ = 10020122099077 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 (10020122100151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 335487716 + ... + 335517581.

It is an arithmetic number, because the mean of its divisors is an integer number (1273232552955).

Almost surely, 2^{10020122100101} is an apocalyptic number.

It is an amenable number.

10020122100101 is a deficient number, since it is larger than the sum of its proper divisors (165738323539).

10020122100101 is a wasteful number, since it uses less digits than its factorization.

10020122100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671005543.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10020122100101 its reverse (10100122102001), we get a palindrome (20120244202102).

The spelling of 10020122100101 in words is "ten trillion, twenty billion, one hundred twenty-two million, one hundred thousand, one hundred one".