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1020100222213 is a prime number
BaseRepresentation
bin11101101100000101011…
…01100001110100000101
310121112001112112111202121
432312002231201310011
5113203131124102323
62100343320005541
7133462014551662
oct16660255416405
93545045474677
101020100222213
11363692a88396
121458516008b1
137526c664157
1437531b7aa69
151b8061cca5d
hexed82b61d05

1020100222213 has 2 divisors, whose sum is σ = 1020100222214. Its totient is φ = 1020100222212.

The previous prime is 1020100222117. The next prime is 1020100222241. The reversal of 1020100222213 is 3122220010201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 897343187524 + 122757034689 = 947282^2 + 350367^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1020100222213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020100022213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510050111106 + 510050111107.

It is an arithmetic number, because the mean of its divisors is an integer number (510050111107).

Almost surely, 21020100222213 is an apocalyptic number.

It is an amenable number.

1020100222213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020100222213 is an equidigital number, since it uses as much as digits as its factorization.

1020100222213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1020100222213 its reverse (3122220010201), we get a palindrome (4142320232414).

The spelling of 1020100222213 in words is "one trillion, twenty billion, one hundred million, two hundred twenty-two thousand, two hundred thirteen".