10122101101 has 16 divisors (see below), whose sum is σ = 11971958400. Its totient is φ = 8373451968.

The previous prime is 10122101081. The next prime is 10122101107. The reversal of 10122101101 is 10110122101.

It is not a de Polignac number, because 10122101101 - 2¹⁹ = 10121576813 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 (10122101107) 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, 560115 + ... + 577903.

It is an arithmetic number, because the mean of its divisors is an integer number (748247400).

Almost surely, 2^10122101101 is an apocalyptic number.

It is an amenable number.

10122101101 is a deficient number, since it is larger than the sum of its proper divisors (1849857299).

10122101101 is a wasteful number, since it uses less digits than its factorization.

10122101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20628.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10122101101 its reverse (10110122101), we get a palindrome (20232223202).

It can be divided in two parts, 10122101 and 101, that multiplied together give a palindrome (1022332201).

The spelling of 10122101101 in words is "ten billion, one hundred twenty-two million, one hundred one thousand, one hundred one".