20001022100113 has 2 divisors, whose sum is σ = 20001022100114. Its totient is φ = 20001022100112.

The previous prime is 20001022099987. The next prime is 20001022100149. The reversal of 20001022100113 is 31100122010002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14295000642129 + 5706021457984 = 3780873^2 + 2388728^2 .

It is a cyclic number.

It is not a de Polignac number, because 20001022100113 - 2³³ = 19992432165521 is a prime.

It is a super-2 number, since 2×20001022100113² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20001022100093 and 20001022100102.

It is not a weakly prime, because it can be changed into another prime (20001026100113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10000511050056 + 10000511050057.

It is an arithmetic number, because the mean of its divisors is an integer number (10000511050057).

Almost surely, 2^{20001022100113} is an apocalyptic number.

It is an amenable number.

20001022100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

20001022100113 is an equidigital number, since it uses as much as digits as its factorization.

20001022100113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 20001022100113 its reverse (31100122010002), we get a palindrome (51101144110115).

The spelling of 20001022100113 in words is "twenty trillion, one billion, twenty-two million, one hundred thousand, one hundred thirteen".