122110102102001 has 8 divisors (see below), whose sum is σ = 132805198631784. Its totient is φ = 111601007251200.

The previous prime is 122110102101899. The next prime is 122110102102003. The reversal of 122110102102001 is 100201201011221.

It can be written as a sum of positive squares in 4 ways, for example, as 32894067562225 + 89216034539776 = 5735335^2 + 9445424^2 .

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 122110102102001 - 2¹⁰ = 122110102100977 is a prime.

It is a super-2 number, since 2×122110102102001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122110102102003) 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, 46500418376 + ... + 46500421001.

It is an arithmetic number, because the mean of its divisors is an integer number (16600649828973).

Almost surely, 2^{122110102102001} is an apocalyptic number.

It is an amenable number.

122110102102001 is a deficient number, since it is larger than the sum of its proper divisors (10695096529783).

122110102102001 is a wasteful number, since it uses less digits than its factorization.

122110102102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93000839491.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122110102102001 its reverse (100201201011221), we get a palindrome (222311303113222).

The spelling of 122110102102001 in words is "one hundred twenty-two trillion, one hundred ten billion, one hundred two million, one hundred two thousand, one".