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100022222211101 is a prime number
BaseRepresentation
bin10110101111100000111101…
…000001100100100000011101
3111010011000211122022211002022
4112233200331001210200131
5101102231002341223401
6552421324033505525
730032236623623561
oct2657407501444035
9433130748284068
10100022222211101
11299632059562a3
12b274b87a122a5
1343a709402ab98
141a9b15c2b76a1
15b86c1a69371b
hex5af83d06481d

100022222211101 has 2 divisors, whose sum is σ = 100022222211102. Its totient is φ = 100022222211100.

The previous prime is 100022222211073. The next prime is 100022222211157. The reversal of 100022222211101 is 101112222220001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86023287715876 + 13998934495225 = 9274874^2 + 3741515^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100022222211101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100022222211101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100022222201101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011111105550 + 50011111105551.

It is an arithmetic number, because the mean of its divisors is an integer number (50011111105551).

Almost surely, 2100022222211101 is an apocalyptic number.

It is an amenable number.

100022222211101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022222211101 is an equidigital number, since it uses as much as digits as its factorization.

100022222211101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100022222211101 its reverse (101112222220001), we get a palindrome (201134444431102).

The spelling of 100022222211101 in words is "one hundred trillion, twenty-two billion, two hundred twenty-two million, two hundred eleven thousand, one hundred one".