1022100113 has 2 divisors, whose sum is σ = 1022100114. Its totient is φ = 1022100112.

The previous prime is 1022100109. The next prime is 1022100143. The reversal of 1022100113 is 3110012201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 974875729 + 47224384 = 31223^2 + 6872^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022100113 - 2² = 1022100109 is a prime.

It is a super-2 number, since 2×1022100113² = 2089377281989225538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1022100094 and 1022100103.

It is not a weakly prime, because it can be changed into another prime (1022100143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511050056 + 511050057.

It is an arithmetic number, because the mean of its divisors is an integer number (511050057).

Almost surely, 2^1022100113 is an apocalyptic number.

It is an amenable number.

1022100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022100113 is an equidigital number, since it uses as much as digits as its factorization.

1022100113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1022100113 is about 31970.3004834174. The cubic root of 1022100113 is about 1007.3130926381.

Adding to 1022100113 its reverse (3110012201), we get a palindrome (4132112314).

The spelling of 1022100113 in words is "one billion, twenty-two million, one hundred thousand, one hundred thirteen".