10000122102101 has 2 divisors, whose sum is σ = 10000122102102. Its totient is φ = 10000122102100.

The previous prime is 10000122102079. The next prime is 10000122102133. The reversal of 10000122102101 is 10120122100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5855436879601 + 4144685222500 = 2419801^2 + 2035850^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000122102101 - 2²⁶ = 10000054993237 is a prime.

It is a super-2 number, since 2×10000122102101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000122102181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000061051050 + 5000061051051.

It is an arithmetic number, because the mean of its divisors is an integer number (5000061051051).

Almost surely, 2^{10000122102101} is an apocalyptic number.

It is an amenable number.

10000122102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000122102101 is an equidigital number, since it uses as much as digits as its factorization.

10000122102101 is an evil number, because the sum of its binary digits is even.

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

Adding to 10000122102101 its reverse (10120122100001), we get a palindrome (20120244202102).

The spelling of 10000122102101 in words is "ten trillion, one hundred twenty-two million, one hundred two thousand, one hundred one".